Question

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

02/(x + 4)
02/(x-4)
O f(x + 4)
Of(x-4)

Answer 1

-2f(x+4), A

Explanation:

Vertically stretch the function by 2, flip it over the x-axis and add 4 to shift right

(The explaination might be BS but the answer is 100% correct, took the quiz)

Answer 2

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

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