Free Printable Algebra 2 - Daily Grade Lesson 7 Graphing Radical Functions

1.

What transformations take place in the following equation?

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

a)

Vertical Stretch of 2, Up 3

b)

Vertical Stretch of 3, Up 2

c)

Vertical Stretch of 3, Down 2

d)

Vertical Stretch of 3, Left 2

2.

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

a)

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

b)

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

c)

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

d)

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

3.

Which of the following is Standard Form of a radical equation?

a)

$y=a\sqrt{x-h}+k$

b)

$y=\sqrt{x}$

c)

$y=x^2$

d)

$y=\left|x\right|$

4.

If 0<a<1 then what is happening in the equation?

a)

Vertical stretch

b)

Vertical compression

c)

Moves up

d)

Moves down

5.

What is the endpoint of the square root functions

$y=-\frac{1}{2}\sqrt{x+7}-19$

a)

(-7, -19)

b)

(7, -19)

c)

(7, 19)

d)

(-7, 19)

6.

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

a)

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

b)

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

c)

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

d)

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

7.

Which equation has a vertical stretch of 4 and moves up 3?

a)

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

b)

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

c)

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

d)

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

8.

a)

A

b)

B

c)

C

d)

D

9.

What is the range of this graph?

a)

y ≥ -1

b)

y ≤ -1

c)

y ≥ 0

d)

y ≤ 0

10.

What is the domain of this graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x ≥ 0

d)

x ≤ 0

11.

Identify the DOMAIN and RANGE

a)

b)

c)

d)

12.

What kind of function is represented by the graph?

a)

Cube Root Function

b)

Cubic Function

c)

Polynomial Function

d)

Square Root Function

13.

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.

14.

Which graph represents the function?

a)

b)

c)

d)

15.

What is the inflection point of the function? **hint--the inflection point is the point around which the graph has rotational symmetry**

a)

(5,-3)

b)

(5,3)

c)

(-5,-3)

d)

(-5,3)

16.

Which of the facts is not true about the graph shown?

a)

The range is y ∈ ℝ

b)

The function has been shifted 6 units right.

c)

The function has been shifted up 1 unit

d)

The function has been vertically stretched by a factor of 2.

17.

Identify the right end behavior.

As x --> inf, f(x) --> ____

a)

$\infty$

b)

$-\infty$

c)

-1

d)

2

e)

3

18.

Identify the decreasing interval.

a)

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

b)

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

c)

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

d)

$\left(2,\infty\right)$

e)

$\left(2,-\infty\right)$

19.

Identify the right end behavior.

As x -->inf , g(x) --> ___

a)

$\infty$

b)

$-\infty$

c)

-3

d)

2

e)

1

20.

Identify the increasing interval.

a)

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

b)

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

c)

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

d)

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

e)

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

Algebra 2 - Daily Grade Lesson 7 Graphing Radical Functions

Total questions: 20

Worksheet time: 25mins

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