Master Graphing Absolute Value Equations with stretching and Compressions

What is the vertex of the parent equation y = |x|?

• (1, 1)

• (0, 0)

• (2, 2)

• (-1, -1)

What happens to the graph when the absolute value of 'a' is greater than 1?

• It reflects over the x-axis.

• It shifts to the right.

• It stretches vertically.

• It compresses vertically.

If 'a' is less than 1, how does it affect the graph of the absolute value function?

• It compresses vertically.

• It shifts upwards.

• It compresses horizontally.

• It stretches vertically.

In the equation y = 2|x|, what is the slope used for graphing?

• 1/2

• 2/1

• 1/1

• 3/1

How does the graph change when 'a' is negative?

• It compresses vertically.

• It stretches horizontally.

• It shifts left.

• It reflects over the x-axis.

What is the first step in graphing an equation with transformations?

• Shift the graph down.

• Find the slope.

• Determine the vertex.

• Reflect over the y-axis.

In the equation y = -4|x - 1| + 8, what transformation occurs first?

• Reflect over the x-axis.

• Shift up 8 units.

• Reflect over the y-axis.

• Shift left 1 unit.