Graphing an abs function with vertical and horizontal shifts

The video tutorial covers the concept of absolute value functions, focusing on identifying them and understanding their transformations. It explains how transformations affect the graph of the function, including shifts up, down, left, and right. The tutorial emphasizes the importance of memorizing these transformation rules and provides techniques for doing so.

What distinguishes an absolute value function from a quadratic function?

• It has a constant slope.

• It has a parabolic shape.

• It uses absolute value brackets.

• It is always positive.

How does adding a number outside the absolute value function affect its graph?

• It shifts the graph to the left.

• It shifts the graph to the right.

• It shifts the graph up.

• It shifts the graph down.

What happens to the graph of an absolute value function when you subtract a number inside the function?

• It shifts to the right.

• It shifts upwards.

• It shifts to the left.

• It shifts downwards.

If you add a number inside the absolute value function, in which direction does the graph shift?

• Downwards

• To the left

• To the right

• Upwards

What is the effect of subtracting a number outside the absolute value function?

• The graph shifts to the right.

• The graph shifts to the left.

• The graph shifts downwards.

• The graph shifts upwards.