Exploring Absolute Value Transformations in Math 3

The video tutorial covers graph transformations, focusing on absolute value functions. It begins with a warm-up on graph transformations, then explains the concept of absolute value as the distance from zero. The tutorial demonstrates how to graph absolute value functions, identifying transformations such as horizontal and vertical shifts, and the vertex. It further explores transformations involving stretch, shrink, and reflect, providing examples and exercises for practice.

What does a negative number inside the absolute value function indicate in terms of horizontal shift?

• Shift to the left

• Shift to the right

• Shift upwards

• Shift downwards

What is the absolute value of -7?

• -7

• 0

• 7

• 14

How does the graph of an absolute value function look?

• A straight line

• A V-shaped graph

• A U-shaped graph

• A parabolic curve

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

• It reflects

• It shifts horizontally

• It stretches

• It shrinks

If 'a' is a negative number, what transformation occurs?

• No transformation

• Stretch

• Shrink

• Reflect

What is the vertex of the graph for the function y = |x - 3| + 1?

• (3, 1)

• (-3, -1)

• (-3, 1)

• (3, -1)

How does a positive 'k' value affect the graph?

• Shifts it right

• Shifts it down

• Shifts it left

• Shifts it up

What is the vertex of the function y = |x + 2| - 6?

• (-2, -6)

• (2, -6)

• (-2, 6)

• (2, 6)

What does a stretch transformation do to the graph?

• Makes it taller and skinnier

• Makes it shorter and wider

• Shifts it horizontally

• Reflects it

For the function y = -3|x|, what transformations occur?

• Reflect and stretch

• Shrink and reflect

• Shift down and reflect

• Stretch and shift up