Absolute Value Equations Transformations

solve for z.

|-4z|=7

• -7/4, 7/4

• -7/4

• 11, 3

• -11, -3

solve for b.

|b + 4| - 4 = 0

• -8, 0

• 0

• -8

• 1 , -1

solve for t.

|t - 8| + 4 = 11

• 1, 15

• -23, 7

• 15

• 15, -15

Choose the equation that best matches the graphed function.

Write an absolute value function given the following transformations from the parent function: Reflection across the x-axis Vertical shift right 2 units Horizontal shift down 7 units

What is the domain of the following graph?

• [0,0]

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units

• Stretches more narrow, shifts down 4 units

• Compresses wider, shifts down 4 units

Over what interval is the function decreasing?

• (-3, inf)

• (-inf, -3)

• (-inf,-10)

• (0, inf)

What is the range for this graph?

Describe the transformations from the parent graph to f(x) = -3∣x + 5∣ - 7

• Down 7, Left 5, Vertical Stretch by 3, Reflection across x-axis

• Up 7, Right 5, Vertical Stretch by 3,Reflection across x-axis

• Down 7, Left 5, Vertical Compression by 3, Reflection across x-axis

• Up 7, Right 5, Vertical Compression by 3, Reflection across x-axis