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Let f(x)=12x2+4.


The function g(x) is a vertical stretch of f(x) by a factor of 4.


What is the equation of g(x)?




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g(x) =

Verified Answer :

g(X)=
16x^2+4
Parent function is y=x^2

Answer:

\(g(x)= 48x^2+16\)

Step-by-step explanation:

given f(x)= \(12x^2 +4\)

The function g(x) is a vertical expansion of f(x) by a factor of 4.

when f(x) is vertically expansion  by 'a' f(x)  becomes a f(x)

For vertical expansion by a factor of 4  we multiply f(x) by 4

So \(g(x)= 4(f(x))\)

\(g(x)= 4(12x^2+4)\)

\(g(x)= 48x^2+16\)

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