Question

6. Given the function

y=f(x), describe the
transformations and
sketch the following
function;

g(x)=2f(1/2 (x-1) )-7

Answer 1

See below.

Explanation:

The x - 1 will move whole graph 1 unit to the right.

The 1/2 will stretch it horizontally by a factor 2.

The 2 will stretch it vertically by a factor 2.

The -7 translates it 7 units down.