Free Printable Week 3 Remediation Alg. Reasoning

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Week 3 Remediation Alg. Reasoning

Total questions: 26

Worksheet time: 33mins

Name

Class

Date

Describe the transformation from the parent absolute value function:

$y=\left|x\right|-5$

Shift up 5 units

Shift down 5 units

Shift right 5 units

Shift left 5 units

Describe the transformation from the parent quadratic function:

$y=\left(x-2\right)^2$

Shift up 2 units

Shift down 2 units

Shift right 2 units

Shift left 2 units

Describe the transformation from the parent square root function:

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

Shift up 4 units

Shift down 4 units

Shift right 4 units

Shift left 4 units

Describe the transformation from the parent quadratic function:

$y=\frac{1}{4}x^2$

Vertical stretch by a factor of ¼

Vertical compression by a factor of ¼

Describe the transformation from the parent square root function:

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

* Select TWO answers *

Vertical stretch

Vertical compression

Translation 5 units right

Translation 5 units left

Describe the transformation from the parent absolute value function:

$y=-\left|x+4\right|-3$

* Select THREE answers *

Reflection over the x-axis

Translation 4 units left

Translation 4 units up

Translation 3 units left

Translation 3 units down

Describe the transformation from the parent absolute value function:

$y=-\left|x+4\right|-3$

* Select THREE answers *

Reflection over the x-axis

Translation 4 units left

Translation 4 units up

Translation 3 units left

Translation 3 units down

.
If the blue is f(x)=x^2,then the red must be

g(x)=x²-5

g(x)=x²+5

g(x)=(x-5)²

g(x)=(x+5)²

g(x)=x³+1

g(x)=x³-1

g(x)=(x-1)³

g(x)=(x+1)³

10.

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

y = x² + 4

y = (x + 4)²

y = (x - 4)²

y = 4x²

11.

What are the transformations of this functions compared to the parent function y = √(x)?

Horizontal right 5, vertical down 2, and reflected over the x-axis

Reflected over the x-axis, vertical stretch of 2, and horizontal right 5

Reflected over the x-axis, vertical stretch of -2, and horizontal left 5

Horizontal right 5, Vertical down 2

12.

f(x) = −(x−2)³−1

f(x) = −(x+2)³−1

f(x) = −(x−2)³ + 1

f(x) = −(x+2)³ + 1

13.

f(x)=3∣x−2∣−2

f(x)=1/3∣x+2∣−2

f(x)=3∣x+2∣−2

f(x) = 1/3∣x−2∣+2

14.

What is the equation of the graph?

y = √(x - 3)

y = √(x) + 3

y = √(x - 5) + 4

y = √(x + 5) + 4

15.

Which equation represents this graph.

f(x)=(x - 4)² - 3

f(x)=-(x - 4)² + 3

f(x)=(x - 4)² + 3

f(x)=-(x + 4)² + 3

16.

$f\left(x\right)=x^2$ and $g\left(x\right)=\left(x+3\right)^2-12$

Describe the transformations that map f(x) onto g(x)

up 3

left 12

right 3

down 12

left 3

up 12

left 3

down 12

17.

What is the equation of the graph below?

f(x) = I x I + 1

f(x) = I x I - 1

f(x) = -I x I + 1

f(x) = -I x I - 1

18.

Linear parent function $f\left(x\right)=x$ is graphed on the grid. Which graph best represents $g\left(x\right)=-\frac{1}{3}f\left(x\right)$ ?

19.

What is the DOMAIN?

(-∞, ∞)

(-2, ∞)

[-2, ∞)

(-∞, 0) U (0, ∞)

20.

What is the domain of the graph?

[-7,5)

(-7,5]

[-3,1)

(-3,1]

21.

What is the range?

(-4,5]

[-4,5)

(-3,3)

[-3,3]

22.

Is -2 a range value in the relation graphed?

Yes

23.

Which choice describes the ranges of this graph.

y > 0

x > 0

All real numbers

24.

What is the range of the following graph?

{-5, -1, 0 , 1, 5}

{-4, -2, 0, 3, 6}

(-4, 1) ( 6, 0)

(6, 0)

25.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,}
R: {0, 1, 2, -4}

D:{-4, 0, 1, 2}
R:{-4, -3, 1}

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

26.

What is the domain of the graph?

x ≥ -6

-7 ≤ x ≤ 3

-8 ≤ x ≤ 4

x ≤ -6

All real numbers

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Week 3 Remediation Alg. Reasoning

Total questions: 26

Worksheet time: 33mins

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