Graphing Absolute Value Functions

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

• f(x) = -3|-x + 1| + 4
• f(x) = -|x - 1| + 4
• f(x) = -5|x + 1| + 4
• f(x) = -3|x - 4| + 1

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)
• (-2,5)
• (-4,-2)
• (2,5)

What is the range?

• y ≥ 5

• y ≥ -3

• y ≤ -3

• y ≤ 5

What is the equation of the graph below? You can click the picture to zoom in!

• y = - | x + 2| + 4
• y = - | x - 2| + 4
• y = | x - 2 | + 4
• y = | x - 2| - 4

Where is the absolute value function decreasing?

Hint: There are two sides of the graph. Decreasing is the part where the line goes down or drops down from left to right.

• When x < -1

• When x > -1

• It's never decreasing.

• It's always decreasing.

Describe the end behavior of the absolute value function shown.

Where is the absolute value function increasing? Hint: There are 2 sides of the graph. Increasing is the part where the line goes up from left to right.

• When -2 < x < 4

• When x < -2 & when x > 4

• When x = -2 & when x = 4

• When x < 1