Understanding Absolute Value Functions

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

If 'a' is negative in an absolute value function, what happens to the graph?

• It opens upwards

• It opens downwards

• It becomes a horizontal line

• It becomes a vertical line

How do you determine the vertex of an absolute value function?

• By identifying the values of h and k

• By calculating the y-intercept

• By looking at the coefficients of x

• By finding the slope

What does a positive 'a' value indicate about the direction of the graph?

• The graph is vertical

• The graph is horizontal

• The graph opens downwards

• The graph opens upwards

What is the effect of a horizontal stretch on the graph of an absolute value function?

• It makes the graph narrower

• It makes the graph wider

• It shifts the graph downwards

• It shifts the graph upwards

When factoring out a number inside the absolute value function, what transformation occurs?

• Vertical stretch

• Horizontal stretch

• Vertical compression

• Horizontal compression

How do you determine the slope of the sides of an absolute value function?

• By using the vertex

• By finding the x-intercept

• By calculating the difference in y-values

• By identifying the 'a' value

What is the first step in writing the equation of an absolute value function?

• Find the x-intercept

• Calculate the slope

• Determine the vertex

• Identify the y-intercept

If the graph of an absolute value function opens downwards, what can be said about 'a'?

• 'a' is undefined

• 'a' is negative

• 'a' is positive

• 'a' is zero

What does the 'k' value in the standard form of an absolute value function represent?

• The horizontal shift

• The vertical shift

• The slope

• The x-intercept