Question

If g(x) = a f(x + b), how is f(x) transformed to get g(x)?

Answer 1

Answer:

There was a Horizontal translation left b units and then Vertical stretch or compression

Step-by-step explanation:

Given : $g(x) = a f(x + b)$

We are supposed to show the transformation

Rule : f(x)→f(x+c)

Horizontal translation left c units

So, f(x+b) is the Horizontal translation left b units

Rule : f(x)→cf(x)

Vertical stretch or compression

So,$g(x) = a f(x + b)$

So, Initially there was a Horizontal translation left b units and then Vertical stretch or compression