Module 5 Test Review

Module 5 Test Review

By Bette Horsington (VVA Algebra 2)

Multiple Choice

A parabola that has a minimum value has a U shape.

• True

• False

Multiple Choice

Which square root equation shows a vertical compression, a right horizontal translation, and a downward vertical translation?

• $$y=\sqrt[]{x-2}+3$$  

• $$y=2\sqrt[]{x-5}+2$$  

• $$y=\frac{4}{5}\sqrt[]{x-5}-2$$  

• $$y=3\sqrt[]{x-5}-4$$  

Multiple Choice

Which square root equation shows a vertical stretch, an y-axis reflection, a left horizontal translation, and a upward vertical translation?

• $$y=2\sqrt[]{-x-1}+3$$  

• $$y=\frac{1}{2}\sqrt[]{-x-2}+3$$  

• $$y=-2\sqrt[]{x+5}+4$$  

• $$y=\frac{2}{3}\sqrt[]{-x-2}+3$$  

Multiple Choice

Which cube root equation shows a vertical compression, a left horizontal translation, and a downward vertical translation?

• $$y=\sqrt[3]{x+2}-3$$  

• $$y=\frac{1}{3}\sqrt[3]{x-2}-4$$  

• $$y=3\sqrt[3]{x+2}-6$$  

• $$y=\frac{2}{3}\sqrt[3]{x+2}-4$$  

Multiple Choice

Which cube root equation shows a vertical stretch, an x-axis reflection, a right horizontal translation, and a upward vertical translation?

• $$y=2\sqrt[3]{x-2}+3$$  

• $$y=-2\sqrt[3]{x-1}+3$$  

• $$y=-\frac{1}{2}\sqrt[3]{x-1}+3$$  

• $$y=-2\sqrt[3]{x+1}+4$$

• need start value (which is max/min)

• either increasing or decreasing

• as x approaches start x , then y approaches start y

• Domain and Range is greater than = corresponding start value (if increasing)​

square root graph

• need center value (use this x value in increase or decrease interval)

• graph either decreasing or increasing

• Domain and Range all reals

• if increasing then as x goes to + infinity then y goes to+ infinity and as x goes to - infinity then y goes to - infinity ​

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​cube root graph

Multiple Choice

What is the y intercept for $$y=3\left(x-2\right)^2-5$$  

• $$\left(2,0\right)$$  

• $$\left(0,5\right)$$  

• $$\left(0,7\right)$$  

• $$\left(7,0\right)$$  

Multiple Choice

What is increase and decrease interval for $$y=3\left(x-2\right)^2-5$$  

• $$increase:\ -\infty<x<\infty$$   $$decrease:\ -\infty<x<\infty$$  

• $$increase:\ 2<x<\infty$$   $$decrease:\ -\infty<x<2$$  

• $$increase:\ -\infty<x<2$$   $$decrease:\ 2<x<\infty$$  

• $$increase:\ none$$   $$decrease:\ -\infty<x<\infty$$  

Multiple Choice

In $$y=\sqrt[]{x-2}+3$$  as $$x\rightarrow\infty$$  

• $$y\rightarrow-\infty$$  

• $$\phi$$  

• $$y\rightarrow\infty$$  

• $$y\rightarrow3$$  

Multiple Choice

In $$y=\sqrt[]{x-2}+3$$  as $$x\rightarrow2$$  

• $$y\rightarrow-\infty$$  

• $$\phi$$  

• $$y\rightarrow\infty$$  

• $$y\rightarrow3$$  

Multiple Choice

Describe the of increase interval of $$y=\sqrt[3]{x-2}+3$$  

• $$-\infty<x<\infty$$  

• $$-\infty<x<2,\ \ \ 2<x<\infty$$  

• $$\phi$$  

• $$-\infty<x<2$$  

Multiple Choice

Describe the end behavior of $$y=\sqrt[3]{x-2}+3$$  

• $$x\ \rightarrow-\infty\ then\ \ y\rightarrow-\infty$$   $$x\rightarrow\infty\ \ then\ y\rightarrow\infty$$  

• $$x\ \rightarrow-\infty\ then\ \ y\rightarrow\infty$$    $$x\ \rightarrow\infty\ then\ \ y\rightarrow-\infty$$  

• $$\phi$$  

•   $$x\ \rightarrow-\infty\ then\ \ y\rightarrow-\infty$$   $$x\ \rightarrow\infty\ then\ \ y\rightarrow-\infty$$  

Multiple Choice

x-intercepts and zeros are at the same location. True or False

• True

• False

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Thanks for play - Have more questions please ask

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Module 5 Test due tonight at 11:59pm ​