Algebra 2: 1.1-1.2 Quiz Big Ideas Math

Name the function's parent function and describe the transformation. Use a graphing calculator to help you visualize.
Choose the 2 options that apply.

 $f\left(x\right)=x+3$  

• Linear Function

• Constant Function

• Translation 3 units right

• Translation 3 units up

• Reflection in the Y-Axis

Name the function's parent function and describe the transformation. Use a graphing calculator to help you visualize.
Choose the two options that apply.

 $g\left(x\right)=\left|x\right|-1$  

• Quadratic Function

• Absolute Value Function

• Reflection in the X-Axis

• Translation 1 unit down

• Translation 1 unit up

Name the function's parent function and describe the transformation. Use a graphing calculator to help you visualize.
Choose the two options that apply.

 $h\left(x\right)=\frac{1}{2}x^2$  

• Linear Function

• Quadratic Function

• Vertical Strech

• Translation two units right

• Vertical Shrink

Name the function's parent function and describe the transformation. Use a graphing calculator to help you visualize.
Choose the two options that apply.

 $h\left(x\right)=4$  

• Constant Function

• Linear Function

• Reflection in the Y-Axis

• Translation 3 Units down

• Translation 3 Units up

Name the function's parent function and describe the transformation. Use a graphing calculator to help you visualize.
Choose the three options that apply.

 $f\left(x\right)=-\left|x\right|-3$  

• Absolute Value Function

• Quadratic Function

• Reflection in the X-Axis

• Translation 3 Units down

• Translation 3 Units up

Name the function's parent function and describe the transformation. Use a graphing calculator to help you visualize.
Choose the three options that apply.

 $g\left(x\right)=-3x^2$  

• Absolute Value Function

• Quadratic Function

• Reflection in the X-Axis

• Vertical Stretch

• Vertical Shrink

Choose a function g whose graph represents the indicated transformations of the graph of f. Use a graphing calculator to help you visualize.

 $f\left(x\right)=\left|x\right|$  ; reflection in the x-axis followed by a translation 4 units to the left

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

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

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

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

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

Choose a function g whose graph represents the indicated transformations of the graph of f. Use a graphing calculator to help you visualize.

 $f\left(x\right)=\left|x\right|$  ; vertical shrink by a factor of  $\frac{1}{2}$   followed by a translation 2 units up

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

•  $g\left(x\right)=\frac{1}{2}\left|x\right|+2$  

•  $g\left(x\right)=\frac{1}{2}\left|x+2\right|$  

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

•  $g\left(x\right)=\frac{1}{2}\left|x-2\right|$  

Choose a function g whose graph represents the indicated transformations of the graph of f. Use a graphing calculator to help you visualize.

 $f\left(x\right)=x$ ; translation 3 units down followed by a reflection in the y-axis 

•  $g\left(x\right)=-x+3$  

•  $g\left(x\right)=x-3$  

•  $g\left(x\right)=x+3$  

•  $g\left(x\right)=x-4$  

•  $g\left(x\right)=-x-3$  

The table shows the total distance Mr. Jimenez travels in his car from Bismarck each month after schools resumes.

What type of function can you use to model the data? Estimate the mileage after 1 year. Choose the options that apply.

• Linear Function

• Constant Function

• 21,600 miles after 1 year

• 25,200 miles after 1 year

• 19,800 miles after 1 year