Graphing Absolute Value of Functions

What is the vertex of the following function?
y= 4|x|+1

• (0,1)
• (4,1)
• (-4,1)
• (4,-1)

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

• (-4,2)
• (-2,5)
• (-4,-2)
• (2,5)

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

• f(x) = I x + 2 I 
• f(x) = I x  I + 2
• f(x) = I x  I - 2
• f(x) = I x - 2 I 

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

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = 4|x + 3| - 2

• Narrower

• Wider

• Same

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = -|x| + 9

• Narrower

• Wider

• Same

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = 5/2 |x - 1|+ 2

• Narrower

• Wider

• Same

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y= 1/3 |x| + 3

• Narrower

• Wider

• Same

Translation is a shift of a graph horizontally, vertically or both.

• True

• False

An absolute value function has a V-shaped graph that opens up or down.

• False

• True

• Sometimes