Absolute Value Equations Transformations

Write the absolute value equation given the following transformations:
Reflection over the x-axis
Horizontal shift right 2 units
Vertical shift down 7 units

What is the parent function for absolute values?

• y = x

• y = |x|

• y = x²

• y = 2^x

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

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|

solve for g. 13 = 6|g| - 6

• -19/6, 19/6

• 19/6

• 7/6,-19/6

• 3,-3

• left 1, up 5

• left 1, down 5

• right 1, up 5

• right 1, down 5

How many solutions does the following equation have? 0 = -6|9v - 7|

• no solution

• one solution

• two solutions

Solve for z

11 = 6|-2z|- 5

• +4/3, -4/3

• 1/2, -1/2

• -4/3, 1/2

• 5.5, -5.5

Solve for p

-6|-8p - 7| = -15

• -19/16, -9/16

• 1/4, -3.5

• 9/16, -9/16

• -19/16

How many solutions does the equation have?

-6|-r - 4| = -18

• no solution

• one solution

• two solutions