Absolute Value Graphs

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)

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

• Narrow
• Wide
• Same

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x  I + 2
• f(x) = I x  I - 2
• f(x) = I x - 2 I 

y = |x - 3| makes the graph slide . . .

• left 3
• right 3
• up 3
• down 3

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

• left 7
• right 7
• up 7
• down 7

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, stretch by 2, right 3, up 3

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

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

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

What is the domain of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

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

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|

Describe the transformations of the absolute value equation.

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

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

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

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