Absolute Value Graphs Basics

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

• y = Ix + 3I - 1
• y = Ix - 3I - 1
• y = Ix + 1I + 3
• y = Ix - 1I + 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= 5/2 |x-1|+2

• Narrow

• Wide

• Same

What is the equation of the absolute value function?

• f(x)= 4|x + 3|

• f(x)= 1/4 |x + 3|

• f(x)= 1/4 |x – 3|

• f(x)= 4|x – 3|

What is the domain of the graph?

• y≥1

• x ≥ 1

• All real numbers

• none of these

What is the range of the graph?

• y≥1

• x≥1

• All real numbers

• none of these