Transform Absolute Value Graphs

Determine the transformation 

• left 3, up 2

• right 3, up 2

• left 3, down 2

• right 3, down 2

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

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 

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 - 1| - 1

• y = |x + 1| - 1

• y = |x - 1| +1

• y = |x + 1| + 1

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

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, commpress by 2, right 3, up 3

• reflected over the x axis, commpress by 2, left 3, up 3

What is the vertex of the following function? y=2|x-3|+1? Use this form (x, y) for your answer

What is the vertex of the following function? y= -4|x+2|+5? use the form (x, y) for your answer

Use Narrow, wide, or same to compare the width of this graph to the parent function.
y=4|x+3|-2

• Narrow

• Wide

• Same