Transformations Quiz

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

• The graph of f is less steep than the graph of g.

• The graph of f is shifted 12 units down to create the graph of g.

• The graph of f is shifted 12 units up to create the graph of g.

• The graph of f steeper than the graph of g.

Tags

CCSS.HSF.BF.B.3

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = f(x) - 5

• g(x) = f(x) + 5

• g(x) = f(x - 5)

• g(x) = f(x + 5)

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left
• horizontal shift left and vertical shift down
• horizontal shift right and vertical shift up
• horizontal shift up and vertical shift right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Given f(x) = x² is transformed to create g(x) = f(x-3) + 5.  What transformations took place from the original function f(x) to create g(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

• The graph g is a reflection of graph f across the x-axis.

• The vertex of the graph of g is 9 units to the right of the vertex of graph of f.

• The graph of g is a reflection of the graph of f across the y-axis.

• The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

Tags

A.7c

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Tags

A.7c

Tags

A.7C

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Tags

A.7C

• A

• B

• C

• D

• A

• B

• C

• D