Cubic Equations

Which of the following is the graph of  $y=\left(x-2\right)^3-4$  

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following is the graph of  $y=\left(x+5\right)^3-1$  

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Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following is the graph of  $y=-\left(x-4\right)^3+2$  

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CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following is the equation for the cubic function graphed above

• $y=\left(x+4\right)^3+3$

• $y=\left(x+4\right)^3-3$

• $y=\left(x-4\right)^3+3$

• $y=\left(x-4\right)^3-3$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following is the equation of the cubic function graphed above

• $y=-\left(x-1\right)^3+4$

• $y=\left(x-1\right)^3+4$

• $y=-\left(x+1\right)^3+4$

• $y=\left(x+1\right)^3+4$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

The graph of  $y=x^3$  is graphed in blue.  Which of the following equations could be equation of the function graphed in red?

•  $y=\frac{1}{20}\left(x-2\right)^3+1$  

•  $y=\frac{1}{20}\left(x+2\right)^3+1$  

•  $y=20\left(x-2\right)^3+1$  

•  $y=20\left(x+2\right)^3+1$  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The graph of  $y=x^3$  is graphed in blue. Which of the following equations could be equation of the function graphed in red?

•  $y=-5\left(x+2\right)^3-1$  

•  $y=5\left(x+2\right)^3-1$  

•  $y=-\frac{1}{5}\left(x+2\right)^3-1$  

•  $y=\frac{1}{5}\left(x+2\right)^3-1$  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What does it mean to find the inverse of a function when given a table of values?

• the x's and y's are switched

• the x's and y's are divided by 2

• the x's and y's are made negative

• the x's and y's are the same

Will the inverse of this function be a function?

• Yes
• No
• No way to tell

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

When finding the inverse of a relation,

1st you replace f(x) with y

2nd you begin to...

• solve for y

• replace y with f^-1(x)

• solve for x

• find the greatest common factor