Master Graphing Absolute Value Equations using horizontal and vertical transformations

The video tutorial explains transformations of the absolute value equation, focusing on how vertical and horizontal shifts affect the graph. It introduces the concept of the V-shaped graph and demonstrates how adding or subtracting values outside or inside the absolute value function shifts the graph vertically or horizontally. The tutorial also clarifies common misconceptions about the transformation formula and provides step-by-step examples of graphing these transformations.

What shape does the graph of an absolute value function typically form?

• A straight line

• A circular shape

• A U-shaped curve

• A V-shaped graph

In the transformation form X - H + K, what does K represent?

• Vertex of the graph

• Slope of the graph

• Vertical shift

• Horizontal shift

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

• Shifts the graph to the right

• Lowers the graph downwards

• Shifts the graph to the left

• Raises the graph upwards

What is the effect of subtracting a number inside the absolute value on the graph?

• Shifts the graph downwards

• Shifts the graph upwards

• Shifts the graph to the left

• Shifts the graph to the right

If the transformation form is X - H, and H is positive, which direction does the graph shift?

• Upwards

• Downwards

• To the right

• To the left

How can X + 3 be rewritten to understand its transformation effect?

• X - (-3)

• X + (-3)

• X + 3

• X - 3

What happens to the vertex of the graph when both vertical and horizontal transformations are applied?

• It remains unchanged

• It only moves horizontally

• It shifts according to the transformations

• It only moves vertically