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 uni

Question

3 years ago

12

ts up.
What is the equation for g(x) ?

2 answers:

Mrac [35] · Answer 1 · 2022-06-23T08:11:10+03:00

Mrac [35]3 years ago

8 0

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

$g(x) = 4x + 4$

Mademuasel [1] · Answer 2 · 2022-06-23T10:26:48+03:00

8 0

Answer:

g(x) = 4x + 4.

Step-by-step explanation:

f(x) = x

Vertical stretch gives 4x.

A translation of 4 up gives 4x + 4.

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 uni