Graphing Absolute Value Functions

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)

What is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x+1|+3

• y=-2|x-1|+3

f(x) = −|x+4|

• A
• B
• C
• D

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 

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

Which function is graphed? You can click the picture to zoom in!

• f(x) = 2|x - 4| - 3
• f(x) = ¹/₂ |x + 4| - 3
• f(x) = ¹/₂|x - 3| - 4
• f(x) = 2|x + 3| + 4

• Left 3

• Right 3

• Up 3

• Down 3