Graphing Absolute Value Graphs Using Transformation

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts right

• Stretches wider, shifts right

• Stretches more narrow, shifts left

• Stretches wider, shifts left

What is the range of the function?

• all real numbers

• 3 ≤ y

• -4 ≤ y

• 3 ≤ y ≤ 7

Which function has the greater maximum value?

• f(x)

• g(x)

Match the following. Use the general absolute value equation as a guide:

y = a∣x - h∣ + k

• moves the graph up/down

• the "h"

• ...the graph gets wider

• if "a" is a fraction...

• moves the graph left/right

• "-a"

• ...the graph gets thinner

• if "a" is a whole number...

• flips the graph over

• the "k"

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit

• Reflects over x-axis, compresses wider, shifts up 1 unit

• Reflects over x-axis, stretches more narrow, shifts right 1 unit

• Reflects over x-axis, stretches more narrow, shifts up 1 unit

Describe the transformation that is applied to the parent function.
f(x) = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

What is the range of the absolute value function?

• all real numbers

What is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x+1|+3

• y=-2|x-1|+3

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