Exploring Absolute Value Transformations

What is the vertex of the absolute value parent function?

• (0, 0)

• (1, 1)

• (-h, -k)

• (h, k)

When performing a horizontal shift, how does the graph move if the value inside the function is positive?

• Downwards

• To the left

• Upwards

• To the right

How do vertical shifts affect the graph of an absolute value function?

• They move the graph left or right

• They move the graph up or down

• They stretch the graph vertically

• They reflect the graph over the x-axis

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

• It shifts horizontally

• It stretches vertically

• It shrinks vertically

• It reflects over the x-axis

If 'a' is a fraction between 0 and 1, what transformation occurs?

• Reflection over the x-axis

• Vertical stretch

• Horizontal shift

• Vertical shrink

What is the effect of a negative 'a' value on the graph?

• It shifts the graph up

• It stretches the graph vertically

• It reflects the graph over the x-axis

• It shifts the graph down

In what order should transformations be applied to the absolute value function?

• Shifts, stretches, reflections

• Reflections, stretches, shifts

• Stretches, reflections, shifts

• Shifts, reflections, stretches

What is the first step in applying transformations to the absolute value function?

• Reflection over the x-axis

• Vertical stretch or shrink

• Vertical shift

• Horizontal shift

After reflecting the graph over the x-axis, what is the next step?

• Reflection over the y-axis

• Vertical stretch or shrink

• Vertical shift

• Horizontal shift

What is the new vertex after shifting the graph right by 2 and down by 5?

• (2, 5)

• (2, -5)

• (0, 0)

• (-2, 5)