2nd Nine Weeks Test Review

Given

 $f\left(x\right)=-\frac{1}{2}\left(x+2\right)^2+4$  and  $g\left(x\right)=\frac{1}{2}\left(x-6\right)^2+4$ , which statement is true?

• The functions f(x) and g(x) have the same domain and the same range.

• The functions f(x) and g(x) have the same domain and different ranges.

• The functions f(x) and g(x) have different domains and the same range.

• The functions f(x) and g(x) have different domains and different ranges.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

 $f\left(x\right)=-2\sqrt{x}+8$ , select all that apply.

• Domain:  $\left[8,\ \infty\right)$  

• Domain:  $\left[0,\ \infty\right)$  

• Range:  $\left(-\infty,\ 8\right]$  

• Range:  $\left[8,\ \infty\right)$  

• Range:  $\left[8,\ -\infty\right)$  

Select all of the transformations that can be used to graph $f\left(x\right)=-\frac{4}{3}\sqrt{2\left(x+2\right)}+2$  from the parent function.

• Reflection over the y axis

• Horizontal Stretch of 2

• Vertical Compression of 4/3

• Left 2

• Up 2

Tags

CCSS.HSF.BF.B.3

If $f\left(x\right)=^3\sqrt{x-3}+7$ is changed to  $g\left(x\right)=f\left(x+3\right)-9$  , which graph represents  $g\left(x\right)$  ?

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Tags

CCSS.HSF.BF.B.3

If $f\left(x\right)=\left(x-4\right)^2-2$  and  $g\left(x\right)=-3f\left(x\right)$  , which graph represents  $g\left(x\right)$  ?

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The graph of the cubic parent function is stretched vertically by 4, reflected over the x axis, shifted left 5 units, and shifted up 5 units. Which equation represents this?

• $-\frac{1}{4}\left(x+5\right)^3+5$

• $-4\left(x+5\right)^3+5$

• $-4\left(x-5\right)^3+5$

• $-\frac{1}{4}\left(x-5\right)^3+5$

Tags

CCSS.HSF.BF.B.3

What is the solution to the following equation? Type in only the number.

Tags

CCSS.HSA.REI.A.2

What is the solution to the following equation? Type in only the number.

Tags

CCSS.HSA.REI.A.2

The graph of f(x) is given. If the domain is restricted to $\left(-\infty,\ -5\right]$ , which graph represents  $f^{-1}\left(x\right)$  ?

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Tags

CCSS.HSF-BF.B.4D

Which graph represents the inverse of $f\left(x\right)=4+\frac{2}{3}\sqrt{x}$  ?

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