Absolute Value Functions & Graphs

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 

Identify the equation of the graph.

• y = |x - 1| - 1

• y = |x + 1| - 1

• y = |x - 1| +1

• y = |x + 1| + 1

What is the vertex of the following function? g(x) = -1/5 |x + 6| +4

• (6, 4)

• (-6, -4)

• (-6, 4)

• (6, -4)

What is the equation of the absolute value function?

• f(x)= |x+4|

• f(x)= |x-4|

• f(x)= |x| + 4

• f(x)= |x| - 4

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 right 1 unit

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

What is the range of the absolute value function?

• (-infinity, infinity)

• [3, infinity)

• [0, infinity)

• (-infinity, 3]

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2

• f(x ) = -I x - 4 I + 2

• f(x ) = I x - 4 I + 2

• f(x ) = -I x + 4 I + 2

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units

• Stretches more narrow, shifts down 4 units

• Compresses wider, shifts up 4 units

• Compresses wider, shifts down 4 units

Which graph is the inverse of the graph shown?

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Which function is graphed?

• f(x) = -|2x - 3| + 5

• f(x) = -|x + 5| - 3

• f(x) = -|2x + 3| + 5

• f(x) = -2|x + 5| - 3