Radical Functions

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

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

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

Shifted right 5, shifted down 2

A

B

C

D

15

7.2

16

No Solution

$$y=\sqrt[]{x}+2$$

$$y=\sqrt[]{x}-2$$

$$y=\sqrt[]{x+2}$$

$$y=\sqrt[]{x-2}$$

102

12

98

7

radicand

three.

square

cube

index

radical

fourth

No solution

25

50

125

5

Positive on the interval  $$\left(-3,\ -1\right)$$  

Decreasing on the interval  $$\left(-4,\ 2\right)$$  

Y-intercept at  $$\left(0,\ 2\right)$$  

Range of  $$\left(-\infty,\ \infty\right)$$  

$$f\left(x\right)$$ is a cubic function

Vertical stretch by 2 and down 4

Horizontal compression by ½ and down 4

Vertical stretch by 2 and up 4

Horizontal compression by ½ and right 4