Transformations of Parent Functions

Write the equation of the absolute value parent function that has been shifted right 15 units, down 3 units, and reflected across the x-axis.

• $y\ =\ \left|-x\ -\ 15\right|+\ 3$

• $y\ =\ -\left|x\ +\ 15\right|\ -\ 3$

• $y\ =\ \left|-x\ +\ 15\right|+\ 3$

• $y\ =\ -\left|x\ -\ 15\right|\ -\ 3$

If the blue graph represents

 $f\left(x\right)\ =\ x^{2\ }$  , which equation represents the red graph?

•  $g\left(x\right)\ =\ x^2\ -\ 3$  

•  $g\left(x\right)\ =\ \left(x+3\right)^2$  

•  $g\left(x\right)\ =\ \left(x-3\right)^2$  

•  $g\left(x\right)\ =\ x^2\ +\ 3$  

Describe the transformations of the given quartic equation:

 $y\ =\ \frac{1}{2}\left(x+1\right)^4\ -\ 3$  

• Stretch of 1/2, left 1 units, down 3 units

• Compression of 1/2, left 1 unit, down 3 units

• Compression of 1/2, right 1 units, down 3 units

• Stretch of 1/2, right 1 units, down 3 units

Tags

CCSS.HSF.BF.B.3

Which equation matches the given graph?

• $y\ =\ \left|x\ +\ 2\right|\ -\ 1$

• $y\ =\ -\left|x\ -\ 2\right|\ -\ 1$

• $y\ =\ -\left|x+2\right|\ -\ 1$

• $y\ =\ -\left|x+1\right|\ -\ 2$

Tags

CCSS.HSF-IF.C.7D

Which parent function's graph is shown?

• Exponential Function

• Square Root Function

• Logarithmic Function

• Quadratic Function

Which color graph represents the equation:

 $f\left(x\right)\ =\ ^3\sqrt{x\ +\ 5}$  

• Red

• Black

• Green

• None of the graphs

Tags

CCSS.HSF-IF.C.7B

Which of the following is the correct equation for the BLUE graph?

• $y\ =\ \sqrt{x}\ -\ 2$

• $y\ =\ \sqrt{x}\ +\ 2$

• $y\ =\ \sqrt{x-2}$

• $y\ =\ \sqrt{x+2}$

Tags

CCSS.HSF-IF.C.7B

Which parent function family do the following graphs belong to?

• Cubic Family

• Cube Root Family

• Exponential Family

• Linear Family

Which graph matches the equation:

 $f\left(x\right)\ =\ \left(x+3\right)^2\ -\ 6$  

• Pink/Purple

• Blue

• Red

• None of the Graphs Match

Tags

CCSS.HSF-IF.C.7A

Describe the transformations of the exponential function:

 $y\ =\ \frac{2}{3}\cdot5^{x+10\ }$  

• Compression of factor 2/3 and right 10 units. 

• Stretch of factor 5 and left 10 units

• Stretch by factor 5 and right 10 units

• Compression of factor 2/3 and left 10 units

Tags

CCSS.HSF.BF.B.3