Question

Let f(x)=x. The graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units up.
What is the equation for g(x) ?

Answer 1

Answer:

$g(x) = 4x + 4$

Step-by-step explanation:

The given function is f(x)=x.

If we stretch vertically by a factor of 4 and a translation of 4 units up then the new function becomes

$g(x) = 4f(x) + 4$

But f(x)=x

We substitute to obtain the equation of g(x) as

$g(x) = 4x + 4$

Answer 2

Answer:

g(x) = 4x + 4.

Step-by-step explanation:

f(x) = x

Vertical stretch gives  4x.

A translation of 4 up gives 4x + 4.