Free Printable GRAPHING RADICAL FUNCTIONS

1.

a)

A

b)

B

c)

C

d)

D

2.

What kind of function is represented by the graph?

a)

Cubic Root Function

b)

Cubic Function

c)

Polynomial Function

d)

Square Root Function

3.

a)

A

b)

B

c)

C

d)

D

4.

Which of these equations shifts a radical equation left 3 times?

a)

y = √(x) + 3

b)

y = √(x) - 3

c)

y = √(x + 3)

d)

y = √(x - 3)

5.

Describe the transformation.

a)

Down 1

b)

Reflect over y-axis

c)

Up 1

d)

Reflect over x-axis

6.

Which of these equations shifts a radical equation right 5 times and down once?

a)

y = √(x - 5) - 1

b)

y = √(x + 5) - 1

c)

y = √(x - 5) + 1

d)

y = √(x + 5) + 1

7.

a)

y = 2 √(x) - 4

b)

y = - √(x - 4)

c)

y = 2 √(x)

d)

y = 2 √(x) + 4

8.

What function best describes this graph?

a)

f(x)= -√(x+4) -2

b)

f(x)= √(x-4) -2

c)

f(x)= -√(x-4) -2

d)

f(x)= √(x+4) +2

9.

Describe the transformation

a)

Left 4 units, up 1 unit

b)

Right 4 units, up 1 unit

c)

Left 4 units, down 1 unit

d)

Right 4 units, down 1 unit

10.

Match the correct equation with the given graph.

a)

y = √(x) + 2

b)

y = √(x) - 2

c)

y = √(x + 2)

d)

y = √(x - 2)

11.

a)

y = 2 √(x) - 4

b)

y = - √(x - 4)

c)

y = 2 √(x)

d)

y = 2 √(x) + 4

12.

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

a)

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

b)

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

c)

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

d)

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

13.

What kind of function is represented by the graph?

a)

Cube Root Function

b)

Cubic Function

c)

Polynomial Function

d)

Square Root Function

14.

Describe the transformations of the graph shown.

a)

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

b)

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

c)

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

d)

none of the above.

15.

Graph the function $y=-\sqrt{x-3}\ +2$

a)

b)

c)

d)

16.

Graph the function $y=\left(x+5\right)^{\frac{1}{3}}$

a)

b)

c)

d)

17.

Graph the function $y=-\left(x+4\right)^{\frac{1}{3}}+2$

a)

b)

c)

d)

18.

Graph the function $y=\ 2\left(x-6\right)^{\frac{1}{3}}-9$

a)

b)

c)

d)

19.

Graph the function $y=\frac{1}{3}\left(x-2\right)^{\frac{1}{3}}+4$

a)

b)

c)

d)

20.

Graph the function $y=\frac{1}{2}\left(x+1\right)^{\frac{1}{3}}+1$

a)

b)

c)

d)

GRAPHING RADICAL FUNCTIONS

Total questions: 20

Worksheet time: 5hrs 0mins

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