Algebra Unit 8 Review: Transformations and Piecewise Graphs

What is the DOMAIN?

• (-∞, ∞)

• (-2, ∞)

• [-2, ∞)

• (-∞, 0) U (0, ∞)

What is the RANGE?

• (-∞, ∞)
• (-2, ∞)
• [-2, ∞)
• (-∞, 0) U (0, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Find f(0).

• -4

• -2

• 2 and -2

• none

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

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Tags

CCSS.HSF.BF.B.3

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|

Tags

CCSS.HSF.BF.B.3

Tell how the graph transformed.
y = (x - 3)²

• Translated right 3
• Translated left 3
• Translated up 3
• Translated down 9

Tags

CCSS.HSG.CO.A.2

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Which of the following is the correct equation for the given graph?

• f(x) = (x-2)² - 1
• f(x) = (x+2)² - 1
• f(x) = (x-2)² +1
• f(x) = (x+2)² +1

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)
• (-6, 5)
• (-4, 3)
• (-4, 7)

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D