Exploring Absolute Value Graphs

What is the definition of absolute value?

• The distance from zero on a number line

• The sum of all positive numbers

• The product of a number and its reciprocal

• The difference between two numbers

Which of the following statements is true about absolute value graphs?

• Both positive and negative graphs go down

• Both positive and negative graphs go up

• Positive graphs go down, negative graphs go up

• Positive graphs go up, negative graphs go down

In the form of an absolute value function, what does the 'a' value represent?

• The y-intercept

• The vertex

• The x-intercept

• The slope

What is the vertex of the parent function f(x) = |x|?

• (1, 1)

• (0, 1)

• (0, 0)

• (1, 0)

How do you determine the vertex of an absolute value function in the form f(x) = a|x - h| + k?

• (h, k)

• (-h, k)

• (h, -k)

• (-h, -k)

What is the slope of the reflection of the parent function f(x) = -|x|?

• -1

• 1

• 2

• 0

If the vertex of an absolute value function is shifted to (7, 0), which direction is the shift?

• Right

• Left

• Up

• Down

When graphing an absolute value function with a negative slope, in which direction does the graph go?

• Up and to the left

• Down and to the right

• Down and to the left

• Up and to the right

What is the importance of labeling the axes when graphing?

• To identify the scale and direction

• To confuse the viewer

• To add more information

• To make the graph look colorful

What should you do at the turning point of an absolute value graph?

• Continue the line

• Stop and mirror the points

• Change the slope

• Erase the graph