Combining transformations of functions  Relations and Functions
Combining transformations of functions
Lessons

a)
$y =  2f\left[ {3\left( {x + 4} \right)} \right] + 5$


a)
stretching horizontally by a factor of 2 about the yaxis

b)
stretching vertically by a factor of $\frac{3}{5}$ about the xaxis

c)
vertical translation of 7 units up

d)
reflection in the yaxis

e)
horizontal translation of 4 units to the left

f)
reflection in the xaxis


3.
Given the graph of $y = f\left( x \right)$ as shown,