Algebra 2 Fall Semester Review

Describe the transformation from $f$ to $g$  

 $f\left(x\right)=x^2$  

 $g\left(x\right)=4x^2$  

• Vertical stretch

• Vertical shrink

• Shift left

• Shift right

Describe the transformations from $f$ to $g$ 
 $f\left(x\right)=\left|x\right|$  

 $g\left(x\right)=-\frac{2}{3}\left|x+3\right|-3$  

• 3 units left, vertical shrink, reflection in the x -axis, and 3 units down

• 3 units right, vertical shrink, reflection in the x -axis, and 3 units down

• 3 units right, vertical shrink, reflection in the x -axis, and 3 units up

• 3 units left, vertical shrink, and 3 units down

Which function is a reflection of $f\left(x\right)$ over the x-axis?

 $f\left(x\right)=\left|2x-4\right|-7$  

•  $g\left(x\right)=-\left|2x+4\right|-7$  

•  $g\left(x\right)=-\left|2x-4\right|-7$  

•  $g\left(x\right)=-\left|2x-4\right|+7$  

•  $g\left(x\right)=\left|2x-4\right|+7$  

Solve the equation:

 $-6\left|-\frac{5}{7}a+7\right|-1=-13$  

•  $a=7,\ a=-\frac{63}{5}$  

•  $a=-7,a=\frac{63}{5}$  

•  $a=7,\ a=\frac{63}{5}$  

•  $a=-7,\ a=-\frac{63}{5}$  

Solve the inequality and graph the solution.
 $\left|x-2\right|\ge2$ 

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Use Desmos to find the equation of the line of best fit for the data in the table.

• $y=2.57x+64.35$

• $y=2.59x+64.35$

• $y=2.60x+66$

• $y=2.58x+66$

Write the interval in interval notation.

• $\left(-\infty,-1\right)$

• $\left(-\infty,-1\right]$

• $\left(-1,\infty\right)$

• $\left[-1,\infty\right]$

Sketch the graph of  $\left\{0<x\le5\right\}$  

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Write the set of numbers in set builder notation.

 $\left(-\infty,2\right]\cup\left[17,\infty\right)$  

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Graph the system of inequalities:
 $3x-2y\ge-6$  

 $6x-2y<2$  
 $x+2y\ge-2$  

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