Absolute Value Function Transformations

Write an absolute value function given the following transformations from the parent function: Reflection across the x-axis Vertical shift right 2 units Horizontal shift down 7 units

• 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.

Group the absolute value equations by type of dilation.

Groups:

(a) No Dilation

,

(b) Dilation = Narrower

,

(c) Dilation = Wider

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

Groups:

(a) YES Reflection - Opens Down

,

(b) NO Reflection - Opens Up

Tags

CCSS.HSF-IF.C.7D

f(x) = −|x+4|

• A

• B

• C

• D

Which function is graphed?

• f(x) = -3|-(x - 1)| + 4

• f(x) = -|x - 1| + 4

• f(x) = 5|x - 1| + 4

• f(x) = -3|x - 4| + 1

Tags

CCSS.HSF-IF.C.7D

Choose the equation that best matches the graphed function.

Tags

CCSS.HSF-IF.C.7D