Absolute Value Functions and Inequalities

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

• (2,3)

• (-3,1)

• (2,-3)

• (3,1)

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 graph below?

• f(x) = - I x + 2 I 

• f(x) = - I x - 2 I 

• f(x) =  I x + 2 I 

• f(x) =  I x - 2 I 

Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

• Right 2 down 5

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

What is the correct equation for this graph?

• y ≤ 2|x-1| - 1

• y ≤ 1/2|x-1| + 4

• y ≥ -2|x+1| - 2

•  y ≤ -2|x-1| + 1

Which graph matches the inequality?

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Which graph matches the inequality?

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Which function shows horizontal translation and a vertical stretch?

• f(x) = -2|-x |

• f(x) = -3|x| - 7

• f(x) = -|-x + 1| + 4

• f(x) = 5|x - 4| - 1

Is the line for the inequality

f(x) ≥|x+3|- 9 going to solid or dotted?

• Dotted

• Solid