Functions and Transformations

Dale graphed the absolute value parent function. Then,he reflected the graph over the x-axis, shifted it four units to the right and three units up. What is the new equation?

• f(x) = Ix+4I +3

• f(x) = Ix+4I -3

• f(x) = -Ix+3I +4

• f(x) = -Ix-4I +3

What is the equation to this graph?

• f(x)= Ix+2I +1

• f(x)= Ix-2I +1

• f(x)= Ix+2I -1

• f(x)= Ix-2I -1

What is the vertex:
f(x)= -(5/2) Ix-4I ?

• (0,4)

• (4,2)

• (2,4)

• (4,0)

Describe how to graph this inequality.

• Solid line, shade below

• Solid line, shade above

• Dashed line, shade below

• Dashed line, shade above

Describe how to graph this inequality.

• Solid line, shade below

• Solid line, shade above

• Dashed line, shade below

• Dashed line, shade above

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit

• Flips to A shape, compresses wider, shifts up 1 unit

• Flips to A shape, stretches more narrow, shifts up 1 unit

Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8

• Shift up

• Shift down

Does the following get wider  or skinnier from the parent function y = |x|?
y = 5|x| 

• Wider

• Skinnier

Write the equation for a graph that shifts down 9.

• y=|x|-9

• y=|x-9|

• y=-9|x|

• y=|x|+9

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

• y = -|x + 2| - 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

• y = -|x - 2| + 7