the graph of F(x), shown below, has the same shape as the graph of G(x)=x^2. but it is shifted up 4 units and to the right 2 units. What is its equation

The Graph Of F(x), Shown Below, Has The Same Shape As The Graph Of G(x)=x^2. But It Is Shifted Up 4 Units

Answers

Answer 1

Answer:

Step-by-step explanation:

The graph of [tex]y=x^2[/tex] in vertex form is [tex]y=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). If we shift the parabola right or left, or up or down, the h and k values take on that reflection. If we move up 4, k goes from a value of 0 to a value of 4; if we move right 2 units, h goes from a value of 0 to a value of 2. Putting that together in work (aka vertex) form:

[tex]y=(x-2)^2+4[/tex]


Related Questions

Which is the area of the rectangle?
69
115
100

Answers

Answer:

A

Step-by-step explanation:

The area of a rectangle, A = l • w is represented by the expression 24x6y15. Which could be the dimensions of the rectangle?

Answers

Answer:

l=[tex]24\*x^{6}[/tex]

w=[tex]y^{15}[/tex]

Step-by-step explanation:

We know that the area of rectangle can be determined by the multiply the length to the width i.e

A = l • w..................Eq(1)

Here A represented the area .

l=  Length of rectangle

w= Width of rectangle

Here A= [tex]24x^{6} y^{15}[/tex]...

It can be written as [tex]A= 24x^{6} \ *y^{15}[/tex]..............Eq(2)

Comparing the Eq(2) to the Eq(1)

[tex]l=24x^{6}\\ w=y^{15}[/tex]

Answer:

the right answer A. 2x^5y^8 and 12xy^7

Step-by-step explanation:

!! 25 points !! Find x. Do not round your answer.​

Answers

Answer:

12

Step-by-step explanation:

X=12

Because chords are the same size

Answer:16.6 is the correct answer.

Step-by-step explanation:

Please help ! I don’t understand:((

Answers

Answer:

B

Step-by-step explanation:

sorry if im wrong but i used desmos next time its graphing use desmos

Lim x-> n/2 (2e^x cos x)

Answers

Answer:

A

Step-by-Step Explanation:

We want to find the limit:

[tex]\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}[/tex]

Use direct substitution.

Hence:

[tex]\displaystyle{\Rightarrow 2e^\frac{\pi}{2}\cos(\frac{\pi}{2}})[/tex]

Recall the unit circle. cos(π/2) is simply 0. Hence:

[tex]\displaystyle{\Rightarrow 2e^\frac{\pi}{2}(0)=0[/tex]

Therefore:

[tex]\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}=0[/tex]

So, our answer is A.

Hi, can I get some help with this question? DON'T WORRY ITS JUST A ASSIGNMENT. NOT A TEST. Thank you

Answers

Answer:

d.

Step-by-step explanation:

i looked at the graph!

In the diagram, m = 128° and m = 76°. What is m∠ABC? A. 104° B. 116° C. 128° D. 102° E. 96°

Answers

Answer:

B. 116

Step-by-step explanation:

Answer:

D) 102

Step-by-step explanation:

Angle ABC is an inscribed angle.

Inscribed angle = 1/2 * Intercepted Arc

The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204

m<ABC = 1/2(204)

m<ABC = 102 degrees

You answer is D) 102

Calculate the volume in litres of the cuboid shown above ​

Answers

Answer:

0.06 l

Step-by-step explanation:

Volume of cube = 3 x 4 x 5 = 60 cm cubed.

1 cm cubed = 0.001 liters

So 60 cm cubed = 0.06 liters.

Hope this helps

9p + 8 Math fraction

Answers

Answer:

17p

Step-by-step explanation:

9p+8p=17p

what is the answer of this attachment:

Answers

Answer:

(B) 2

Step-by-step explanation:

=> [tex]\frac{\sqrt{32}+ \sqrt{48} }{\sqrt{8}+\sqrt{12} }[/tex]

=> [tex]\frac{4\sqrt{2}+4\sqrt{3} }{2\sqrt{2}+2\sqrt{3} }[/tex]

=> [tex]\frac{4(\sqrt{2}+\sqrt{3}) }{2(\sqrt{2}+\sqrt{3)} }[/tex]

Cancelling [tex]\sqrt{2}+\sqrt{3}[/tex]

=> [tex]\frac{4}{2}[/tex]

=> 2

find a quadratic polynomial whose sum and and product is -7 and -2

Answers

Answer:

x²+7x-2 = 0

Step-by-step explanation:

The general form of a quadratic equation with roots a and b is expressed as shown;

x²-(sum of root) x + (product of roots) = 0

x² - (a+b)x + ab = 0 ... 1

Given the sum of roots a+b = -7

Product of roots ab = -2

Substituting this values in equation 1 above wil give;

x²-(-7)x+(-2) = 0

x²+7x-2 = 0

The resulting quadratic polynomial is x²+7x-2 = 0

Britney just got a new video game for her birthday. Yesterday, she played for 27 minutes and beat 3 levels. Today, her parents said she can play for 45 minutes. If she beats levels at the same rate, how many levels should Britney beat today?

Answers

Answer:

The answer is 5

Step-by-step explanation:

hope this helped you

Today Britney beat 5 levels of a video game if she played at the same playing proportion with time as yesterday.

What is proportion of doing work?

proportion or rate of work done is the ratio of the total work done in a given time divided by the given time. It is the measure of the proportion of doing work per unit time.

proportion of work done = Total work done / Given time

Yesterday ,Britney played 3 levels in time  27 minutes

Work done(levels cleared) = 3 levels

Time taken  = 27 minutes

Yesterday the proportion or rate of playing game = 3 levels / 27 minutes = ( 1/ 9) levels/ min

Today, Britney is allowed to play  for 45 minutes at the same proportion rate she played yesterday

Then, the  work done or level beat today = rate of playing game × time

                                                                    = (1/9)×45 = 5 games

Therefore, Britney cleared 5 games today if she played at same rate as she did yesterday

Also, Learn ore about the proportion from the link below:

https://brainly.com/question/28351493

#SPJ5

Which recursive formula can be used to represent the sequence
2, 6, 10, 14, 18,... ?

Answers

Answer:

We know that a₁ = 2 and that you have to add 4 to the previous term to get the term you are looking for so the answer is:

a₁ = 2

aₙ = aₙ₋₁ + 4

Order The numbers from least to greatest

0.453, 0.35, 4/5

Answers

Answer:

Step-by-step explanation:

0.35

0.453

4/5

N(x) = -3(x - 2)2 + 60,
Plot the axis of symmetry and the vertex for this function

Answers

Answer:

Step-by-step explanation:

What is the center of a circle represented by the equation (x+9Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is shown.

x2 + y2 + 6x + 4y – 3 = 0

x2 + 6x + y2 + 4y – 3 = 0

(x2 + 6x) + (y2 + 4y) = 3

(x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4)2+(y−6)2=102?

Answers

Answer:

The center of the circle is at  the point (-3, -2) on the plane

Step-by-step explanation:

The first four steps in the completing of the squares to find the standard equation of a circle are correct. Let's start from there and actually complete the squares correctly:

[tex](x^2+6\,x+9)+(y^2+4\,y+4)=3+9+4\\(x+3)^2+(y+2)^2=16\\(x+3)^2+(y+2)^2=4^2[/tex]

Therefore, this is a circle centered at x = -3 [based on the horizontal translation defined by (x+3)], and at y = -2 [based on the vertical translation defined by (y+2)], and the circle has radius 4 based on the numerical constant squared on the right side of the equal sign.

43046721 as a single power of 9

Answers

Answer:

[tex]9^8[/tex]

Step-by-step explanation:

[tex]9^8=43046721[/tex]

[tex]ln(9^x)=xln(9)[/tex]

so we search [tex]x=ln(43046721)/ln(9)[/tex]

hope this helps

Answer:

9^8=43046721

Step-by-step explanation:

The exponent 9 of a number is found by multiplying that number by itself 9 times.

Solve for x h(x)=−7x ; h(x)=63

Answers

Answer:

x = -9

Step-by-step explanation:

-7x = 63

Divide -7 into both sides.

-7x/-7 = 63/-7

x = 63/-7

x = -9

Put x as -9 in the function to check.

h(x) = -7x

h(-9) = -7(-9)

h(-9) = 63

Answer:

x = -9

Step-by-step explanation:

h(x)=−7x ; h(x)=63

Set the two equal

-7x = 63

Divide by -7

-7x/-7 = 63/-7

x = -9

Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda?

Answers

Answer:

3 more square feet.

Step-by-step explanation:

x = The amount Melinda can shovel in 1 minute

y = The amount Paula can shovel in 1 minute

So make two equations:

30(x + y) = 450       x + y = 15       x = 15 - y

20x + 25y = 345     4x + 5y = 69

Plug in:

4(15 - y) + 5y = 69

60 - 4y + 5y = 69

y = 9

x = 6

9 - 6 = 3

Answer:

Answer is A

Step-by-step explanation:

Took it on Edg.

Really need help :( struggling

Answers

Answer:

B

Step-by-step explanation:

The original amount will be the coefficient of (1 + 0.04)^r which is $728.00.

Which shape is an equivalent fraction to this fraction? 3/4

10/14
7/8
6/8
4/7

Answers

Answer:

6/8

Step-by-step explanation:

3/4

Multiply by 2/2

3/4 *2/2 = 6/8

The distance between points (1, 2) and (x 1 ,y 1 ) is the square root of (x 1 -1)^ 2 +(y 1 -2)^ 2

Answers

Answer:

True

Step-by-step explanation:

The distance between the given points is [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex].

The given points are  (1, 2) and [tex](x_{1} , y_{1})[/tex] .

We to find the distance between the given points.

What is the formula to find the distance between points?

The formula to find the distance between points is [tex]\sqrt{(x_{1}-x_{2} )^{2}-(y_{1}-y_{2} )^{2} }[/tex].

Now, [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex]

Therefore, the distance between the given points is [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex].

To learn more about the distance between the points visit:

https://brainly.com/question/15958176.

#SPJ2

HELP I'M BEING TIMED A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? A) The test contains 4 three-point questions and 20 five-point questions. B) The test contains 10 three-point questions and 14 five-point questions. C) The test contains 14 three-point questions and 10 five-point questions. D) The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

b)

Step-by-step explanation:

the easy way of doing this in my opinion is just to multiply the options by their corresponding values so in this case 3x10=30 and 5x14=70 then add those together and it equals 100 points with a total of 24 questions

PLEASE SOMEONE HELP ! X

Answers

Answer:

When x=-3 ,  y= -16

when x=-2 , y= -10

when x=-1 , y= -6

when x=0 , y=-4

when x=1 y=-2

when x=2, y= 2

when x= 3, y= 8

Step-by-step explanation:

Equation: y= x^2+x-4

All you have to do is plug in the values of x given in the table inorder to find the y values.

Answer:

When x=-3 ,  y= -16

when x=-2 , y= -10

when x=-1 , y= -6

when x=0 , y=-4

when x=1 y=-2

when x=2, y= 2

when x= 3, y= 8

Just plug in each x value to the equation

IWhat is the slope of the line whose equation is y-4=5/2(x-2)?

Answers

Answer:

5/2

Step-by-step explanation:

You slope is always mx

In point-slope form, your mx is just in factored form. All you need to do is distribute to find m.

What transformations was not done to the linear parent function, f(x)=x to get the function g(x)=-1/3(x-7)+2?

Answers

Answer:

Step-by-step explanation:

Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i.e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0<d<1 it stretches it. By multipyling the variable x by a negative sign, we are reflecting with respect the x -axis. Finally when we add a number to the function, we are applying a vertical shift.

original function x.

1. (x-7): horizontal shift of 7 units to the right.

2. 1/3(x-7): Horizontal stretching by factor 1/3.

3.-1/3(x-7): Reflection with respect the x-axis

4.-1/3(x-7)+2: Vertical shift of two units up.

The expression below is a sum of cubes.
64x3 + 125
O A. True
O B. False

Answers

Answer:

true it's A....

Answer:

A

Step-by-step explanation:

64x³ + 125

∛(64x³ + 125)

= 4x + 5

The expression is a sum of cubes.

Joel rides his bicycle 250m towards north to meet his friend Jim. From there he bicycles 450m south along the same road. What integer will represent his final position from his house?

Answers

Answer:

He is 200 meters south of his house.

Step-by-step explanation:

Say north is positive and south is negative, but your answer will be the absolute value. He goes 250m North. He then goes 450m south which would translate into a problem as 250-450=|-200|=200. In simpler terms think of the road as a number line where north is positive and south is negative and your house is zero, you want the distance on the line from zero.

which words have vertical symmetry for all of the letters in the word?

Answers

Answer:

palindromes

Step-by-step explanation:

palindromes are spelled the same forward and backward, thus have vertical symmetry.

The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufactured is about $3.00 an item. If the average price for a product sold in the store is $5.50, what will the break-even point be? Let x represent the number of products sold. The break-even point occurs when the cost function equals the revenue function. 550 + 3.00x = 5.50x Naturally Made needs to sell products to break even. The cost or revenue when it sells the break-even number of products will be $

Answers

Answer:

220 products need to be sold to break it even.

Step-by-step explanation:

550 + 3.00x = 5.50x

550 = 2.50x

220 = x

you need 220 products
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