Compare Algebraic Functions

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 

Use Narrower, Wider, or Same to compare the width of this graph to its parent function. y = 4|x + 3| - 2

• Narrower

• Wider

• Same

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

• (0,1)

• (4,1)

• (-4,1)

• (4,-1)

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2

• The first line has a greater slope

• The second line has a greater slope

• Both lines have the same slope

• The slopes are opposite

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper

• Nate’s service ($42 vs. $44) is cheaper

• Nate’s service ($38 vs. $40) is cheaper

• Beth's service ($42 vs. $44) is cheaper

• Function J, -6

• Function J, 8

• Function K, 5

• Function K, 10

• They have the same y-intercept

• The first equation has a higher y-intercept

• The second equation has a higher y-intercept

• The y-intercepts are negative

• A

• B

• C

• D

• E

• The slope of the first function is greater

• The slope of the second function is greater

• Both slopes are equal

• The slopes are equal in magnitude but opposite in sign