Free Printable (Int) Alg 2 Unit 4 Test Rev

1.

What does the transformation $f\left(x\right)\ =\left|x+1\right|-9$ do to the graph of $f\left(x\right)$ ?

a)

translates it left one unit and down 9 units

b)

translates it right one unit and down 9 units

c)

translates it up one unit and right 9 units

d)

translates it down one unit and left 9 units

2.

What kind of shift happens with this function make from its parent graph?

g\left(x\right)\ =\ \frac{1}{\left(x-4\right)}

a)

4 points up

b)

4 points to the left

c)

4 points to the right

d)

4 points down

3.

What equation represents the quadratic function?

a)

y = (x - 4)² + 1

b)

y = (x + 1)² - 4

c)

y = (x - 4)² - 1

d)

y = (x - 1)² - 4

4.

Which equation below is a quadratic function translated left 4 units?

a)

y = x² + 4

b)

y = (x + 4)²

c)

y = (x - 4)²

d)

y = 4x²

5.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

6.

If the parent function is f(x) = √(x) then what translation describes what would happen to the graph.

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

7.

Which equation below is a quadratic function translated right 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = x² - 5

d)

y = (x-5)²

8.

Given the function $y=\left(x+4\right)^2+2$ , what is the parent function?

a)

$y=x^2$

b)

$y=x^3$

c)

$y=\sqrt{x}$

d)

$y=\frac{1}{x}$

9.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x)= x²

c)

f(x) = |x|

d)

f(x) = ab^x

10.

Name the parent function.

a)

cubic

b)

cube root

c)

exponential

d)

quadratic

11.

Name the parent function.

a)

constant

b)

square root

c)

linear

d)

absolute value

12.

Name the parent function.

a)

square root

b)

quadratic

c)

cube root

d)

cubic

13.

Name the parent function.

a)

inverse

b)

quadratic

c)

cubic

d)

square root

14.

Name the parent function.

a)

square root

b)

quadratic

c)

cubic

d)

inverse

15.

What is the equation of this graph?

a)

f(x) = -(x + 1)² + 3

b)

f(x) = -(x - 1)² + 3

c)

f(x) = -(x + 1)² - 3

d)

f(x) = -(x + 1)² - 3

16.

What is the equation of this graph?

a)

f(x) = (x + 2)² - 3

b)

f(x) = (x - 2)² - 3

c)

f(x) = |x + 2| - 3

d)

f(x) = |x - 2| - 3

17.

What is the equation of this graph?

a)

f(x) = (x + 2)² - 2

b)

f(x) = (x - 2)² - 2

c)

f(x) = |x + 2| - 2

d)

f(x) = |x - 2| - 2

18.

What equation represents the quadratic function?

a)

y = (x - 8)²

b)

y = (x + 8)²

c)

y = x² - 8

d)

y = x² + 8

19.

What equation represents the quadratic function?

a)

y = (x - 4)²

b)

y = (x + 4)²

c)

y = x² - 4

d)

y = x² + 4

20.

What equation represents the quadratic function?

a)

y = (x - 5)² - 3

b)

y = (x - 5)² + 3

c)

y = (x + 5)² - 3

d)

y = (x - 3)² - 5

21.

Describe the transformation of the graph y = (x)³ + 6

a)

Right 6

b)

Left 6

c)

Up 6

d)

Down 6

22.

Describe the transformations of the graph y = (x - 3)³ + 2

a)

Right 3, Down 2

b)

Left 3, Up 2

c)

Right 3, Up 2

d)

Left 3, Down 2

23.

Describe the transformations.

a)

Translate Right 2, Down 4

b)

Translate Left 2, Down 4

c)

Translate Left 2, Up 4

d)

Translate Right 2, Up 4

24.

What is the equation of the graph?

a)

y = √(x - 3)

b)

y = √(x) + 3

c)

y = √(x - 5) + 4

d)

y = √(x + 5) + 4

25.

a)

inverse

b)

cubic

c)

square root

d)

absolute value

26.

a)

$y=\left|x\right|$

b)

$y=\frac{1}{x}$

c)

$y=x^{3^{ }}$

d)

$y=\sqrt{x}$

27.

a)

$y=x^3$

b)

$y=\sqrt{x}$

c)

$y=\frac{1}{x}$

d)

$y=x^2\$

28.

a)

$y=x$

b)

$y=\sqrt{x}$

c)

$y=x^2$

d)

$y=\left|x\right|$

29.

a)

$y=x$

b)

$y=\sqrt{x}$

c)

$y=\left|x\right|$

d)

$y=x^2$

30.

If the blue graph is the parent function, what is the equation of the red (transformed) function?

a)

g(x)=x³+1

b)

g(x)=x³-1

c)

g(x)=(x-1)³

d)

g(x)=(x+1)³

31.

Which equation shows a function that is translated left 4 and 7 up?

a)

y = |x + 4| + 7

b)

y = (x - 4)² + 7

c)

y = (x + 7)² - 4

d)

y = |x + 4| - 7

32.

f(x) = |-x + 3|

Describe the horizontal transformations

a)

Reflect over y-axis

Left 3

b)

Reflect over y-axis

Right 3

c)

Reflect over x-axis

Left 3

d)

Reflect over x-axis

Right 3

33.

Which is the graph of

y=\sqrt{x-3}+5

a)

b)

c)

d)

34.

Which is the graph of

f(x)=(x+6)³+2

a)

b)

c)

d)

35.

which is the graph of

h(x)=(x+4)²+1

a)

b)

c)

d)

36.

f(x) = -|x| + 3

Describe the transformations

a)

Reflect over y-axis

Left 3

b)

Reflect over x-axis

down 3

c)

Reflect over x-axis

up 3

d)

Reflect over x-axis

Right 3

37.

Describe the transformations of the graph y = (x + 3)³ + 2

a)

Right 3, Down 2

b)

Left 3, Up 2

c)

left 3, Up 2

d)

Left 3, Down 2

38.

Which is the graph of

y=\sqrt{x-3}-5

a)

b)

c)

d)

39.

Which equation shows a function that is translated right 4 and 7 up?

a)

y = |x + 4| + 7

b)

y = (x - 4)² + 7

c)

y = (x + 7)² - 4

d)

y = |x + 4| - 7

(Int) Alg 2 Unit 4 Test Rev

Total questions: 39

Worksheet time: 34mins

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