Identify the function family to which f belongs.

• Linear

• Quadratic

• Absolute Value

• Constant

Identify the function family to which f belongs.

• Linear

• Quadratic

• Absolute Value

• Constant

Describe the transformation of

 $h\left(x\right)=x+2$  when compared to the parent  $f\left(x\right)\ =\ x$  

• horizontal shift right two units

• horizontal shift left two units

• vertical shift up two units

• vertical shift down two units

 $h\left(x\right)\ =\ \left|x+4\right|$  

Describe the transformation of this function when compared to the parent.

• Horizontal shift right 4 units.

• Horizontal shift left 4 units.

• Vertical shift up 4 units.

• Vertical shift down 4 units.

 $h\left(x\right)\ =\ 2\left|x\right|-3$  

Describe the transformation of the function when compared to the parent.

• Horizontal stretch by a factor of 2 and move down 3 units.

• Horizontal shrink by a factor of 2 and move up 3 units.

• Vertical stretch by a factor of 2 and move down 3 units.

• Vertical shrink by a factor of 2 and move up 3 units.

Tags

CCSS.HSF.BF.B.3

 $g\left(x\right)\ =\ \left|x+5\right|+3$  

Describe the transformation of the function when compared to the parent.

• Horizontal shift left 5 units and up 3 units.

• Horizontal shift right 5 units and up 3 units.

• Horizontal shift right 5 units and down 3 units.

• Horizontal shift left 5 units and down 3 units

 $f\left(x\right)\ =\ -x$  

Describe the transformation of the function and identify the parent function

• Reflection over the x-axis; linear parent

• Reflection over the y-axis; linear parent

• Reflection over the x-axis; constant parent

• Reflection over the y-axis; constant parent

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

Describe the transformation of the function when compared to the parent.

• Horizontal stretch by a factor of 1/2 and 3 units down.

• Horizontal shrink by by a factor of 1/2 and 3 units down.

• Vertical stretch by a factor of 1/2 and 3 units down.

• Vertical shrink by a factor of 1/2 and 3 units down.