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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) ?

User Papkass
by
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2 Answers

3 votes

Answer:

g(x) = 4x + 4.

Explanation:

f(x) = x

Vertical stretch gives 4x.

A translation of 4 up gives 4x + 4.

User Zaggo
by
7.9k points
5 votes

Answer:


g(x) = 4x + 4

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

User Crusy
by
8.7k points

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