Graphing Functions & Inverses

What is the equation of this graph?

• y=2|x-3|+1
• y=2|x-1|+3
• y=-2|x-1|+3
• y=-2|x-1|+3

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation of the absolute value function?

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

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit
• Flips to A shape, compresses wider, shifts up 1 unit
• Flips to A shape, stretches more narrow, shifts right 1 unit
• Flips to A shape, stretches more narrow, shifts up 1 unit

What is m(-3) if:    

• -3
• 0.5
• 3
• -3.5

• A
• B
• C
• D

What is g when x equals -4?

• -16
• -3/2
• 5/2
• 16

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

When creating an inverse you must...

• Switch the x and y
• Solve for x
• Draw a graph
• Potato

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6