Fall Semester Review Algebra 2, 2020

Which parent function matches the graph?

• y = |x|
• y = ∛(x)
• y = x²
• y = a⋅b^x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected.

• $y=-\left|x-15\right|-3$

• $y=-\left|x+15\right|-3$

• $y=\frac{1}{2}\left|x+3\right|-15$

• $y=\frac{1}{2}\left|x-3\right|-15$

. 
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

Tags

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

Solve for y.

8x + 4y= 16

• y = -8x + 16

• y = 2x -4

• y = -2x + 4

• y = -8x + 12

Select the equivalent expression 
3m¹⁰p⁸ ⋅ 2m⁵p²

• 5m¹⁵p¹⁰
• 5m⁵⁰p¹⁶
• 6m¹⁵p¹⁰
• 6m⁵⁰p¹⁶

Tags

CCSS.HSA.APR.A.1

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

Tags

CCSS.HSF-BF.A.1B

f(x) = 4x + 1 and g(x) = 4x - 3
Find f(x) * g(x)

• 16x² + 8x - 3
• 16x² - 8x + 3
• 16x² - 8x - 3
• 16x² - 16x - 3

Tags

CCSS.HSF-BF.A.1B

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

Find the solution to the following system:

y = (²/₃)x - 2

y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)