Graphing Absolute Value Functions with Transformations

The video tutorial explains how to graph an absolute value function by identifying the parameters a, h, and k, which transform the basic function. It covers vertical stretching and shifting the graph, both left-right and up-down. The tutorial demonstrates graphing by hand and verifies the results using graphing software and a table of values.

What is the standard form of an absolute value function?

• y = a(x - h) + k

• y = a|x - h| - k

• y = a|x - h| + k

• y = a|x + h| + k

Tags

CCSS.HSF-IF.C.7D

If a is positive, how does the absolute value function open?

• Downwards

• Upwards

• To the left

• To the right

Tags

CCSS.HSF-IF.C.7D

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

• It stretches the graph vertically

• It shifts the graph to the left

• It shifts the graph to the right

• It compresses the graph horizontally

How do you interpret x + 2 in the standard form?

• k is -2

• k is 2

• h is -2

• h is 2

What is the value of k in the equation y = 3|x + 2| - 4?

• -2

• -4

• 4

• 2

What happens to the graph when h is negative?

• It shifts downwards

• It shifts to the right

• It shifts to the left

• It shifts upwards

What is the vertex of the function y = 3|x + 2| - 4?

• (2, 4)

• (-2, -4)

• (-2, 4)

• (2, -4)

Tags

CCSS.HSF-IF.C.7D

How do you find new points after a vertical stretch?

• Multiply each y-coordinate by 3

• Subtract 3 from each y-coordinate

• Divide each y-coordinate by 3

• Add 3 to each y-coordinate

What is the slope to the right of the vertex after the vertical stretch?

• 3

• 2

• -3

• 1

Where should the value of h be placed in a table of values?

• At the end

• In the middle

• It doesn't matter

• At the beginning

Tags

CCSS.HSF.IF.A.2