Reflecting and Translating Functions

• reflection on the y-axis

• vertical translation 5 units up

• exponential

• reflection on the x-axis

• vertical translation 5 units down

• horizontal translation 5 units right

• rational

• logarithmic

Tags

CCSS.HSF.BF.B.3

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.3

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.3

How are the functions y = x and y = x+5 related? How are their graphs related?

• Each output for y = x + 5 is 5 more than the corresponding output for y = x. The graph of y = x + 5 is the graph of y = x translated up 5 units.

• Each output for y = x + 5 is 5 less than the corresponding output for y = x. The graph of y = x + 5 is the graph of y = x translated down 5 units.

• Each output for y = x + 5 is 5 less than the corresponding output for y = x. The graph of y = x + 5 is the graph of y = x translated up 5 units.

• Each output for y = x + 5 is 5 more than the corresponding output for y = x. The graph of y = x + 5 is the graph of y = x translated down 5 units.

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If a function, f(x) is shifted to the left four unit(s), what function represents the transformation?

• f(x + 4)

• f(x) + 4

• f(x) - 4

• f(x - 4)

Tags

CCSS.HSF.BF.B.3

The projected altitude f(x) (in thousands of feet) of an airplane is scheduled to depart at noon. If the plane leaves three hours late, what function represents this transformation?

• f(x - 3)

• f(x + 3)

• f(x) - 3

• f(x) + 3

Tags

CCSS.HSF.BF.B.3

For the function y=(x-4)^2, identify the translation of the parent function f(x)=x^2.

Let g(x) be the reflection of f(x) = 3x + 12 in the x-axis. What is a function rule for g(x)?

• g(x) = -3x - 12

• g(x) = 3x + 12

• g(x) = -3x + 12

• g(x) = 3x - 12

Write the function rule when f(x) = 2x - 4 is reflected in the x-axis.

Tags

CCSS.HSF.BF.B.3