Quiz about Radical Functions

Question 1

What transformations take place in the following equation?

$$y=3\sqrt{x}+2$$

Accepted Answer

Vertical Stretch of 3, Up 2

Answer

Vertical Stretch of 2, Up 3

Answer

Vertical Stretch of 3, Down 2

Answer

Vertical Stretch of 3, Left 2

Question 2

Which equation moves 4 down and left 3?

Accepted Answer

$$y=\sqrt{x+3}-4$$

Answer

$$y=\sqrt{x-4}+3$$

Answer

$$y=\sqrt{x+4}-3$$

Answer

$$y=\sqrt{x-3}-4$$

Question 3

Which equation has a vertical compression of 1/3, reflects over the x-axis and moves up 5?

Accepted Answer

$$y=-\frac{1}{3}\sqrt{x}+5$$

Answer

$$y=\frac{1}{3}\sqrt{-x}+5$$

Answer

$$y=-\frac{1}{3}\sqrt{x+5}$$

Answer

$$y=-\frac{1}{3}\sqrt{x-5}$$

Question 4

Which equation has a vertical stretch of 7, moves left 16, and up 12?

Accepted Answer

$$y=7\sqrt{x+16}+12$$

Answer

$$y=7\sqrt{x-12}+16$$

Answer

$$y=7\sqrt{x-12}-16$$

Answer

$$y=7\sqrt{x-16}-12$$

Question 5

What transformations take place in the following equation?

$$y=4\sqrt{x-12}+73$$

Accepted Answer

Vertical stretch of 4, Right 12, Up 73

Answer

Vertical stretch of 4, Left 12, Up 73

Answer

Vertical stretch of 4, Left 73, Down 12

Answer

Vertical stretch of 4, Right 73, Up 12

Question 6

Given the function, which of the following correctly describes the transformations?

Accepted Answer

reflection over the x-axis, vertical compression by 1/3, horizontal shift left 1 and vertical shift down 5

Answer

reflection over the x-axis, vertical stretch by 3, horizontal shift left 1 and vertical shift down 5

Answer

reflection over the y-axis, vertical stretch by 1/3, horizontal shift left 1 and vertical shift down 5

Answer

reflection over the x-axis, vertical stretch by 1/3, horizontal shift right 1 and vertical shift down 5

Question 7

Which of the following correctly describes the domain and range for the function graphed?

Accepted Answer

D: [-5, infinity) R: (-infinity, 4]

Answer

D: [-5, infinity) R: [4, -infinity)

Answer

D: (-infinity, infinity) R: (-infinity, infinity)

Answer

D: [4, infinity) R: (-infinity, -5]

Question 8

Describe the transformations of the graph shown.

Accepted Answer

none of the above.

Answer

Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left.

Answer

Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left.

Answer

Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right.

Question 9

Describe the transformation

Accepted Answer

Right 4 units, up 1 unit

Answer

Left 4 units, up 1 unit

Answer

Left 4 units, down 1 unit

Answer

Right 4 units, down 1 unit

Question 10

What are the transformations of this functions compared to the parent function?

Accepted Answer

Shifted left 2

Answer

Shifted down 2

Answer

Shifted up 2

Answer

Shifted right 2

Question 11

What are the transformations of this functions compared to the parent function?

Accepted Answer

Reflected over the x-axis, vertical stretch, and shifted right 5

Answer

Shifted right 5, shifted down 2, and reflected over the x-axis

Answer

Reflected over the x-axis, vertical stretch, and shifted left 5

Answer

Shifted right 5, shifted down 2

Question 12

What are the transformations to the graph compared to the parent function?

Accepted Answer

Shifted right 2, shifted up 3, and reflected over the x-axis

Answer

Shifted right 2, shifted up 3, and reflected over the y-axis

Answer

Shifted left 2, shifted up 3, and reflected over the y-axis

Answer

Shifted left 2, shifted up 3, and reflected over the x-axis

Question 13

Which is the graph of the square root parent function?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Radical Functions

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