More Practice about Transformations of Functions

The function $f\left(x\right)\ =\ \left(4\right)^{x-5}+2$  has a horizontal shift _______________ 5 and a vertical shift up 2. 

The function $f\left(x\right)\ =\ 2\left(-x\right)^2\ +9$  has a vertical shift up 9, a vertical stretch by 2 and a reflection about the ___-axis

The function $y\ =\ \frac{2}{7}\left(3\right)^x$  has a vertical __________ by  $\frac{2}{7}$  . 

The function $f\left(x-6\right)$  has a shift _______ by 6

The function $f\left(x\right)\ =\ 5^x-9$  has a shift ______ by 9

Choose ALL of the equations that have a vertical shift.

• $y\ =\ 3\left(x-5\right)^2+7$

• $y\ =\ 4\left(\frac{1}{2}\right)^{x+9}\ -3$

• $y\ =\ -2\left(5\right)^{x-3}$

• $y\ =\ \frac{2}{3}x^2+12$

• $-f\left(x+2\right)$

Choose ALL of the equations that have  a reflection.

• $y\ =\ 3\left(x-5\right)^2+7$

• $y\ =\ 4\left(\frac{1}{2}\right)^{x+9}\ -3$

• $y\ =\ -2\left(5\right)^{x-3}$

• $y\ =\ \frac{2}{3}x^2+12$

• $-f\left(x+2\right)$

Choose ALL of the equations that have  a horizontal shift.

• $y\ =\ 3\left(x-5\right)^2+7$

• $y\ =\ 4\left(\frac{1}{2}\right)^{x+9}\ -3$

• $y\ =\ -2\left(5\right)^{x-3}$

• $y\ =\ \frac{2}{3}x^2+12$

• $-f\left(x+2\right)$

Choose the description that correctly described the function:  $f\left(x\right)\ =\ \left(x-8\right)^2\ +\ 3$  

• a shift down 8 and shift right 3

• a shift left 8 and shift down 3

• a shift up 3 and a shift right 8

• a shift down 3 and shift left 8

Describe the transformation(s) in the equation:  $5f\left(-x\right)$  

• Vertical stretch by 5 and a reflection about the y-axis

• Vertical stretch by 5 and a reflection about the x-axis

• Vertical shrink by 5 and a reflection about the y-axis

• Vertical shrink by 5 and a reflection about the x-axis