Exploring Absolute Value Functions and Their Transformations

What does the value of 'a' represent in the general formula of an absolute value function?

• The x-coordinate of the vertex

• The y-coordinate of the vertex

• The slope of the right side of the graph

• The y-intercept of the graph

When identifying the vertex, what must you do with the x-coordinate?

• Divide by 2

• Switch the sign

• Keep the sign the same

• Multiply by 2

If the value of 'a' is positive, how does the graph open?

• To the right

• To the left

• Downwards

• Upwards

How do you determine if the graph opens up or down?

• By looking at the y-intercept

• By looking at the value of h

• By looking at the value of k

• By looking at the value of a

What happens to the graph if the value of 'a' is between 0 and 1?

• It becomes wider

• It shifts to the right

• It becomes narrower

• It remains the same

In the example, what is the x-coordinate of the vertex if h is -3?

• 0

• 3

• -3

• 1

If the value of 'a' is 7, what can be said about the graph?

• It is wider

• It is narrower

• It remains the same

• It shifts downwards

What value should be filled in if a number is missing inside the absolute value?

• 3

• 2

• 0

• 1

In the second example, what is the y-coordinate of the vertex if the added value is 0?

• 0

• 1

• -1

• 2

What is the final equation if the slope of the right side is -1/2 and the vertex is (2, 0)?

• y = -1/2 |x + 2|

• y = 1/2 |x + 2|

• y = -1/2 |x - 2|

• y = 1/2 |x - 2|