Absolute Value

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

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)
• (-2,5)
• (-4,-2)
• (2,5)

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

• Narrow
• Wide
• Same

f(x) = −|x+4|

• A
• B
• C
• D

f(x)= |x−3|−1

• A
• B
• C
• D

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

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, 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