Module 2: Absolute Value Function REVIEW

Describe the transformation from the function f(x) = I x + 2 I - 5 to the function g(x) = |x - 4| + 2

• Left 6 up 7

• Right 6 down 7

• Right 6 up 7

• Left 6 down 7

Determine the transformation 

• left 3, up 2
• right 3, up 2
• left 3, down 2
• right 3, down 2

Choose the correct equation for the graph of the function shown.

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

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2
• f(x ) = -I x - 4 I + 2
• f(x ) = I x - 4 I + 2
• f(x ) = -I x + 4 I + 2

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted right 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

Write an absolute value function given the following transformations:

Reflection across the x-axis

Vertical shift 2 units right

Horizontal shift 7 units down

• y = -|x + 2| - 7

• y = |x - 2| - 7

• y = -|x - 2| - 7

• y = -|x - 2| + 7

Write an absolute value function given the following transformations:

Vertical Stretch by a factor of 2

Horizontal shift left 1 unit left

Vertical shift 9 units down

• f(x) = |2x + 1| - 9

• f(x) = |2x - 1| - 9

• f(x) = 2|x + 1| - 9

• f(x) = 2|x - 1| - 9

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5
• x = 0 and x = -5
• x = 10 and x = -10
• No Solution

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-3}

• No Solution

Solve for x
2 lx−4l+8=18

• x = 9 and x =-1
• x = 1 and x = -9
• x= 4 and x = -2
• No Solution