Quiz about Graphing Square Root Functions

Question 1

Choose the radical function that has a translation of left 5 units and up 1 unit from the parent graph $$y=kf\left(x ight)$$ where $$k e0$$ .

Accepted Answer

$$y=1+\frac{1}{4}\sqrt[]{x+5}$$

Answer

$$y=-1-\sqrt[]{x+5}$$

Answer

$$y=2\sqrt[]{x-5}+1$$

Answer

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

Question 2

State the open interval where $$f\left(x\right)=\sqrt[]{x-1}-4$$ is positive.

Accepted Answer

$$\left(17,\infty\right)$$

Answer

$$\left(1,\infty\right)$$

Answer

$$\left(1,17\right)$$

Answer

$$\left[17,\infty\right)$$

Question 3

Find the average rate of change of $$g\left(x\right)=\sqrt[]{x+9}-5$$ on $$-5\le x\le0$$ .

Accepted Answer

$$\frac{1}{5}$$

Answer

$$-\frac{1}{5}$$

Answer

$$-1$$

Answer

$$7$$

Question 4

State the domain and range of $$h\left(x\right)=\sqrt[]{x-0.5}-6.3$$ .

Accepted Answer

D: $$\left[0.5,\infty\right)$$

R: $$\left[-6.3,\infty\right)$$

Answer

D: $$\left[-0.5,\infty\right)$$

R: $$\left[-6.3,\infty\right)$$

Answer

D: $$\left[-6.3,\infty\right)$$

R: $$\left[0.5,\infty\right)$$

Answer

D: $$\left(0.5,\infty\right)$$

R: $$\left(-6.3,\infty\right)$$

Question 5

State the open interval where $$f\left(x\right)=-\ \sqrt[]{x+5}+3$$ is decreasing.

Accepted Answer

$$\left(-5,\infty\right)$$

Answer

$$\left(3,\infty\right)$$

Answer

$$\left[-5,\infty\right)$$

Answer

$$\left(5,\infty\right)$$

Question 6

Find any x-intercept(s).

$$y=\sqrt[]{x-1}-2$$

Accepted Answer

$$\left(5,0\right)$$

Answer

$$\left(-5,0\right)$$

Answer

$$\left(3,0\right)$$

Answer

none

Question 7

Find any y-intercept(s).

$$y=-\ \sqrt[]{x+9}-6$$

Accepted Answer

$$\left(0,-9\right)$$

Answer

none

Answer

$$\left(0,9\right)$$

Answer

$$\left(0,-3\right)$$

Question 8

Describe the translation of the function $$y=2+3\ \sqrt[]{x+1}$$ .

Accepted Answer

left 1 unit, up 2 units, vertical stretch by 3

Answer

left 1 unit, down 2 units, vertical stretch by 3

Answer

left 1 unit, up 2 units, vertical stretch by 1/3

Answer

right 1 unit, up 2 units

Question 9

Which of the following is the equation of the graph?

Accepted Answer

$$y=1+2\ \sqrt[]{4-x}$$

Answer

$$y=4+\sqrt[]{1-x}$$

Answer

$$y=4-\ \sqrt[]{x-1}$$

Answer

$$y=1+2\ \sqrt[]{x-4}$$

Question 10

Which of the following is the equation of the graph?

Accepted Answer

$$y=\frac{1}{2}\sqrt[]{x+2}-3$$

Answer

$$y=\sqrt[]{x+2}-3$$

Answer

$$y=\sqrt[]{x-2}-3$$

Answer

$$y=\frac{1}{2}\sqrt[]{x-2}-3$$

Graphing Square Root Functions

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