Unit 5: Review of Transformations

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Which parent function matches the graph?

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

What type of function is shown?

• linear
• exponential
• quadratic
• square root

Which is the graph of the square root function?

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7B

f(x + h) is f(x) translated 

• "h" units up
• "h" units down
• "h" units left
• "h" units right

f(x) - k is f(x) translated 

• "k" units up
• "k" units down
• "k" units left
• "k" units right

-f(x) is f(x) 

• Reflected over the x - axis
• Reflected over the y - axis

Given a > 1, a*f(x) is f(x)

• vertically stretched by a factor of "a" (graph becomes skinnier)
• horizontally stretched by a factor of "a" 
• vertically compressed by a factor of "a" (graph becomes wider)
• horizontally compressed by a factor of "a"

Given 0 < a < 1, a*f(x) is f(x)

• vertically stretched by a factor of "a" (graph becomes skinnier)
• horizontally stretched by a factor of "a"
• vertically compressed by a factor of "a" (graph becomes wider)
• horizontally compressed by a factor of "a"

Identify the transformations. 

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical shrink by a factor of 3
• horizontal shift to the left 2 and vertical shrink by a factor of 3