Match Absolute Value Graphs and Equations

• It controls the vertical translation by shifting the graph up or down.

• It controls the horizontal translation by shifting the graph left or right.

• It is the x-coordinate of the vertex.

• The opposite of k is the x-coordinate of the vertex.

• It is the y-coordinate of the vertex.

• It controls the vertical translation by shifting the graph up or down.

• It controls the horizontal translation by shifting the graph left or right.

• It is the x-coordinate of the vertex.

• The opposite of h is the x-coordinate of the vertex.

• It is the y-coordinate of the vertex.

• -a will cause the graph to move down.

• -a will cause the graph to move left.

• -a will cause the graph to reflect over the x-axis.

• -a will cause the graph to reflect over the y-axis.

• If a is bigger than 1, the graph gets wider.

• If a is smaller than -1, the graph gets narrower.

• If a is bigger than 1, the graph gets narrower.

• If a falls between -1 and 1, the graph will get wider.

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I 

Match the following equation to the blue curves it generates.

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Match each graph with the correct eqaution.

 

• f(x) = 1/2 lx+3l

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• h(x) = 3 lx-4l+2

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• g(x) = -lxl

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• y = 0.5 lx-3l

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Group the absolute value equations by type of dilation.

Groups:

(a) No Dilation

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(b) Dilation = Narrower

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(c) Dilation = Wider

Sort the absolute value equations into the appropriate direction of opening categories.

Groups:

(a) YES Reflection - Opens Down

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(b) NO Reflection - Opens Up

Tags

CCSS.HSF-IF.C.7D

Match the following graphs to their corresponding equations.

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