Absolute Value Functions Graph

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

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

Over what interval is the function decreasing?

• (-3, inf)

• (inf, -3)

• -inf, -3)

• (-3, inf)

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 

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

Identify the equation of the graph.

• y = |x - 1| - 1

• y = |x + 1| - 1

• y = |x - 1| +1

• y = |x + 1| + 1

Determine the transformation 

• left 3, up 2

• right 3, up 2

• left 3, down 2

• right 3, down 2

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7

• y = (x - 4)² + 7

• y = (x + 7)² - 4

• y = |x + 4| - 7

Identify the equation of the graph.

• y = |x-3|-2

• y = -|x-3|-2

• y = |x+3|-2

• y = |x+3|+2

y = |x| - 7 makes the graph slide . . .

• left 7

• right 7

• up 7

• down 7