Graphing Absolute Value Functions in Algebra 1

This video tutorial covers the basics of graphing absolute value functions. It begins with an introduction to the parent function and its properties, such as vertex, slope, and orientation. The tutorial then provides four examples, each demonstrating how to graph an absolute value function with different slopes and orientations. The examples include positive, negative, and fractional slopes, illustrating how these affect the graph's shape and direction.

What is the vertex of the parent function y = |x|?

• (0, 1)

• (1, 1)

• (0, 0)

• (1, 0)

In the general form y = a|x - h| + k, what does 'a' represent?

• The slope

• The vertex

• The y-intercept

• The x-intercept

If the slope 'a' is negative in the function y = a|x - h| + k, what is the orientation of the graph?

• It opens to the right

• It opens up

• It opens down

• It opens to the left

For the function y = |x - 7| + 2, what is the vertex?

• (-7, -2)

• (7, -2)

• (-7, 2)

• (7, 2)

In the function y = |x - 7| + 2, what is the slope?

• 1

• 0

• 7

• 2

For the function y = 2|x + 3| - 6, what is the vertex?

• (-3, -6)

• (3, -6)

• (-3, 6)

• (3, 6)

In the function y = 2|x + 3| - 6, what is the slope?

• 2

• -2

• 1

• -1

For the function y = -|x - 2| - 5, what is the orientation of the graph?

• It opens up

• It opens down

• It opens to the left

• It opens to the right

In the function y = -1/2|x + 2| + 4, what is the slope?

• -2

• 2

• -1/2

• 1/2

For the function y = -1/2|x + 2| + 4, what is the vertex?

• (2, 4)

• (2, -4)

• (-2, 4)

• (-2, -4)