Question

From the graph of f given in the picture below, sketch all the steps to draw the graph of 1/2 f(2x + 2) − 2 

Answer 1

As f is not given so we consider a function

$y=f(x)=x^2$

so graph of this function is

further for f(2x+2)

graph moves left by 2 unit

further

$\frac{f(2x+2)}{2}$ compresses the graph towards y axis

further $\frac{f(2x+2)}{2}-2$

moves the graph down by 2 unit