Describe how to transform the graph of f(x)=x2 to obtain the graph of the related function g(x)=−2(x+1)2+1. Then draw the graph of g(x).

Answers

Answer 1

Answer:

to go from y=x² which has a minimum vertex at (0,0), you must shift the vertex one unit to the left and then one unit up to get a maximum vertex at (-1,1)

you can then plot points that can be created from an x-y table; such as (1,-7), (-1,1), (2,17), (-2,-1), etc

Step-by-step explanation:

Answer 2
y=x²

First tranfer x to 1 units left .

y=(x+1)²

Multiply by 2

y=2(x+1)²

Flip the parabola (turn a negative)

y=-2(x+1)²

Transfer y 1 units up

y=-2(x+1)²+1

Related Questions

Tell me which option is correct: (0,m) (b,0) (m,0) (0,b) which one of those

Answers

Answer:

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Class 11

>>Physics

>>Units and Measurement

>>Errors in Measurement

>>You measure two quantities ...

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You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for

AB

as

Medium

Solution

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Verified by Toppr

Correct option is

D

1.4m±0.2m

Here, A=1.0m±0.2m, B=2.0m±0.2m

AB=(1.0m)(2.0m)=2.0m

2

AB

=

2.0m

=1.414m

Rounding off to two significant figures, we get

AB

=1.4m

AB

ΔAB

=

2

1

(

A

ΔA

+

B

ΔB

)=

2

1

(

1.0

0.2

+

2.0

0.2

)=

2

0.3

Δ

AB

=

2

0.3

×

AB

=

2

0.3

×1.414=0.212m

Rounding off to one significant figure, we get

Δ

AB

=0.2m

The correct value for

AB

is 1.4m±0.2m

Correlation coefficients

Answers

A measure of linear correlation between two sets of data (not sure what you wanted)

The height of a tennis ball tossed into the air is modeled by h(x) = 40x â€" 16x 2, where x is elapsed time in seconds. During what time interval will the tennis ball be at least 15 feet above the ground? x > 0. 5 seconds and x > 2. 04 seconds x > 0. 5 seconds and x ≤ 2. 04 seconds x ≥ 0. 5 seconds and x > 2. 04 seconds x ≥ 0. 5 seconds and x ≤ 2. 04 seconds.

Answers

The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

Given that,

The height of a tennis ball tossed into the air is modeled by,

[tex]\rm h(x) = 40x - 16x^2[/tex]

Where x is elapsed time in seconds.

We have to determine,

During what time interval will the tennis ball be at least 15 feet above the ground?

According to the question,

The height of a tennis ball tossed into the air is modeled by,

[tex]\rm h(x) = 40x - 16x^2[/tex]

Where x is elapsed time in seconds.

Then,

When the tennis ball be at least 15 feet above the ground,

[tex]h(x) = 15[/tex]

Substitute the value of h(x) in the equation,

[tex]\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0[/tex]

Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,

[tex]\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45[/tex]

Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

For more details about Inequality refer to the link given below.

https://brainly.com/question/17177510

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

(0,6)
(0,–6)
(6,0)
(–6,0)

Answers

Answer:

D: (-6,0)

Step-by-step explanation:

Set f(x) equal to 0 and solve for the values of x:

f(x) = (x+6)(x-3)

0 = (x+6)(x-3)

x+6=0 and x-3=0

x=-6 and x=3

Therefore, the x-intercepts are (-6,0) and (3,0). Because only (-6,0) is an option, then option D is correct.

Answer: (-6, 0)

Step-by-step explanation:

got it right on my test

Lena is converting StartFraction 2 Over 25 EndFraction to a percent. What should she multiply the numerator and denominator of the fraction by to find the percent?
4
8
50
100

Answers

Answer:

4 if im right:)

Step-by-step explanation:

Answer:

A percent is a number out of 100, so you'd want to multiply the denominator to get 100. In this case, 25 would have to be multiplied by 4 to get 100. To keep the fractions equal to each other, you have to multiply the numerator by the same thing. 2*4=8. Therefore, your fraction would be 8/100 or 8%

The perimeter of a rectangular piece of paper is 52 inches. The area is 133 square inches. What are the dimensions of the paper?

____inches by ____ inches

Answers

Answer:

7 inches by 19 inches

Step-by-step explanation:

We can use a system of equations for this.

x=length

y=width

2x+2y=52 (Perimeter)

xy=133 (Area)

We must find x and y that fit both these equations.

Hope this helps :)

Convert -439° to radians

Answers

Answer:

-439° × π / 180°  

= -2.4388888889π rad  

= -7.6619954163 rad

Step-by-step explanation:

π rad = 180°

To practice for a competition, Jack swam 740 meters in the pool each day for 3 weeks. How many kilometers did Jack swim in those 3 weeks?

1 m = 0.001 km

P.S pls help me

Answers

Answer:

10080.000

Hope this helps you! Happy holidays

Answer: 15.54 Km

Step-by-step explanation:

740*21 = 15,540 = 15.54 Km

If you could be so kinda as to give me a brainliest, i am trying to get to virtuoso

which statement describes the solution to the system of equations?

Answers

Answer:

The solution is (3, 5).

Step-by-step explanation:

The solution to a system of equations is a point that satisfies both equations - that is, a point that you can input to both equations that makes both of them true. On a graph, you can find this solution by searching for the place where the lines intersect.

In this case, it looks like the lines intersect at the point (3, 5), so this is our final answer. Hopefully that's helpful! :)

The solution is (3, 5), this statement describes the solution to the system of equations.

Option B is correct.

Here, we have,

The statement that describes the solution to the system of equations where two lines intersecting at (3, 5) is:

"The point of intersection of the two lines is (3, 5)."

When two lines intersect at a single point, that point is the solution to the system of equations.

In this case, the coordinates (3, 5) represent the x and y values where the two lines cross each other.

This means that both equations are satisfied when x = 3 and y = 5.

The solution to a system of equations is a point that satisfies both equations - that is, a point that you can input to both equations that makes both of them true.

On a graph, you can find this solution by searching for the place where the lines intersect.

"The point of intersection of the two lines is (3, 5)."

Option B is correct.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ6

A cone has a radius of 5. 1 inches and a height of 5 inches. What is the volume of the cone? Use 3. 14 for pi. Round to the nearest tenth. 25. 0 inÂł 75. 0 inÂł 125. 4 inÂł 136. 1 inÂł.

Answers

The correct option is  D. 136.1 cubic inches.

Given, Radius of cone is 5.1 inches.

Height of cone is 5 inches.

We know that, volume of cone,

[tex]V=\frac{1}{3} \pi r^{2} h[/tex]

Here r is the radius of cone and h is its height.

on putting the value of r and h, we get

[tex]V=\frac{1}{3} \times3.14\times(5.1)^{2} \times5[/tex]

[tex]V=\frac{1}{3} \times3.14\times26.01\times5[/tex]

Or, [tex]V=136.119 \ cubic \ inches[/tex].

The volume of cone to the nearest tenth is 136.1 cubic inches.

Hence the correct option is  D. 136.1 cubic inches.

For more details on the volume of cone follow the link:

https://brainly.com/question/1578538

Lisa has a certain amount of money. She spent $39 and has 3/4 of the original amount left. How much money did she have originally

Answers

We know that she spent $39, and has 3/4 of the original amount left. Our goal is to find the original amount. We can use the equation. x - 39 = 3/4x. Once we subtract x on the left hand side, we get -39 = -1/4x. Once we multiply -39 by -4, we get 146. She originally had $156.

chose the expressions that are equivalent to the expression 3 2/3
A) square root 3^6
B) ^3 square root 3•3
C) square root 3^2 3^2
D) ^3 square root 3^2
E) square root 3^3
F) ^3 square root 9
G) square root 3•3•3•3•3•3
H) square root 3•3•3

Answers

Answer:

E no is the correct answer

6x - 10 - - 8 + 3
3x
What’s the answer?

Answers

Answer:

Step-by-step explanation:

-2+39x

i need help asap please Question: A dress is on sale for d dollars. The regular price is 3 times as much.

Janine has enough money to buy 2 dresses at the regular price.

How many dresses can Janine buy at the sale price?
Answers i can choose from

A.
1 dress

B.
3 dresses

C.
6 dresses

D.
9 dresses 4th grade work

Answers

Answer:

It's C

Step-by-step explanation:

You can just use simple resoning to solve this. If the orginal dress cost three times as much as the dress on sale. Then the dress on sale would cost three times as less as the original dress. Let me know if i'm wrong tho

expand and simplify (x+7)(x+1)

Answers

Answer:

x² + 8x + 7

Step-by-step explanation:

    (x + 7) (x + 1)

=  x(x + 1) + 7(x + 1)        Distributive

=  (x · x) + ( x ·1 ) + (7· x) + (7 · 1)

=  x² + x +  7x + 7         Multiply

=  x² + 8x + 7                Add like terms

Are all real numbers either rational or irrational?​

Answers

Answer:

Yes. All real numbers are either rational or irrational.

Step-by-step explanation:

The set of all irrational numbers is commonly defined as the set of all real numbers that are not rational.

Let [tex]\mathbb{R}[/tex] denote the set of all real numbers. Let [tex]\mathbb{Q}[/tex] denote the set of all rational numbers.

For any given real number [tex]x[/tex] ([tex]x \in \mathbb{R}[/tex],) either [tex]x\![/tex] is rational ([tex]x \in \mathbb{Q}[/tex]) or [tex]x\!\![/tex] isn't rational ([tex]\lnot (x \in \mathbb{Q})[/tex], such that [tex]x \not\in \mathbb{Q}[/tex] and thus [tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex].)

Assume that [tex]x[/tex] isn't a rational number. By the definition of rational numbers, since [tex]x\!\![/tex] is a real number but not a rational number ([tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex],) [tex]x\![/tex] would be an irrational number.

Therefore, either [tex]x[/tex] is rational or [tex]x\![/tex] is irrational. Every real number would either be rational or irrational.

US
Evaluate the following
expression using x = 10:
5x + 31

Answers

Answer:

The value is [tex]81[/tex]

Step-by-step explanation:

We need to find value of [tex]5x+31[/tex] when [tex]x=10[/tex]

We have

[tex]5\times10+31=50+31\\\\=81[/tex]

Suppose $\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$. What is the smallest possible value for $x$?

Answers

The smallest possible value of x is the value less than 2/3

Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]

We need to find the smallest possible value of x as shown:

[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]

Reciprocate both sides

[tex]x < \frac{2}{3}[/tex]

Hence the smallest possible value of x is the value less than 2/3

Learn more on inequality here: https://brainly.com/question/4192645

Answer:x=7

Step-by-step explanation:

A coffee pot holds 6 quarts of coffee. How much is this in cups?

Answers

Answer:

24 cups

Step-by-step explanation:

1 quart = 4 cups

6x4= 24 cups

Answer:

24 cups.

Step-by-step explanation:

Each quart is equal to 4 cups. This means you have to do 6x4 to find the answer.

what is 3/4÷2/1=
Explain how you got your answer​

Answers

Answer:

3/2

Step-by-step explanation:

Use the KCF method.

Keep the first fraction (3/4)

Change the sign (division to multiplication)

3/4*2/1=6/4 or 3/2

Answer:

[tex]=\frac{3}{8} (Decimal: 0.375)[/tex]

Step-by-step explanation:

=[tex]\frac{3}{4*2}[/tex]

[tex]\frac{3}{8}[/tex]

An inground swimming pool contains 2.3 times 10 Superscript 4 units of water. Which unit of measure was used?
teaspoons
cubic centimeters
fluid ounces
gallonsCassie is measuring the volume of her fish tank to find the amount of water needed to fill it. Which unit of measurement should she use to eliminate the need to write the value in scientific notation? teaspoons inches gallons pounds

Answers

Answer:

  a) gallons

  b) gallons

Step-by-step explanation:

a)

1 fluid ounce is about 6 teaspoons or 30 cubic centimeters or 1.8 cubic inches. 2.3×10^4 fluid ounces is less than 1 cubic yard. We suspect the pool is much larger than that, so its volume is probably measured in gallons.

__

b)

Of the units listed, only teaspoons and gallons are units of volume. As we saw in the previous problem, a teaspoon is a pretty small volume in relation to the size of most fish tanks. The appropriate unit of measure would be gallons.

There are 19 men and 31 women on an airplane. What is the ratio of the number of male passengers to the total number of passengers?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

19/50

Step-by-step explanation:

19 males and 50 people are in total

Answer:

19/50

Step-by-step explanation:

number of men=19

total passengers = 19+31=50

ratio of men to total people's = 19/50

Seven tickets for a Broadway show cost $385. How much will only 4 tickets cost?

Answers

Answer:

That seems a little hard-

Step-by-step explanation:

Answer:

$220

Step-by-step explanation:

If seven tickets cost 385, then 1 ticket costs one-seventh of that amount, so we divide it by 7 to see how much one ticket costs.

385/7 = 55

One ticket is $55. To find out how much 4 tickets cost, multiply 55, the price of one ticket, by 4.

55 * 4 = 220

$ tickets cost $220

Find the hypotenus of the following triangles.

Answers

Answer:

a 17, b 10, c 15, d 20

Step-by-step explanation:

a^2+b^2=c^2

64+225 = 289

a = 17

36+64 = 100

b = 10

81+144 = 225

c = 15

256+144 = 20

Hope that helps

Identify the equation of the line graphed below. Prove by converting!

A. 2x + y = 4
B. 2x - y = 4
C. x + 2y = 8
D. x - 2y = 8

Answers

The answer is c. x+2y=8

Which graph represents an function

Answers

we kind of need to see the graphs to decide.
but the function is any graph that is completely straight and goes through the center (0,0)

Awnser please jsjshshshdh

Answers

Answer:

No

Step-by-step explanation:

A function cannot have two of the same x values (3 and 3)

I hope this helps!

May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?

Answers

Answer:

  65

Step-by-step explanation:

65 is a multiple of 5, so May can purchase 1 group of 65 bananas and 13 groups of 5 oranges to have 65 of each.

Giving brainiest pls help

Answers

Answer:

Ivan: 4

Caleb: 4, 4, 4, 4, 4, 4, 4

Step-by-step explanation:

For every 4 Ivan sees, Caleb sees 28. (4 times 7)

I need the function for the volume of the box for number 1

Answers

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

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