kaylaflipsforu2 kaylaflipsforu2
  • 23-03-2017
  • Mathematics
contestada

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) =

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lisee7 lisee7
  • 25-03-2017
g(X)=
16x^2+4
Parent function is y=x^2
Answer Link
lisboa lisboa
  • 09-03-2019

Answer:

[tex]g(x)= 48x^2+16[/tex]

Step-by-step explanation:

given f(x)= [tex]12x^2 +4[/tex]

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 [tex]g(x)= 4(f(x))[/tex]

[tex]g(x)= 4(12x^2+4)[/tex]

[tex]g(x)= 48x^2+16[/tex]

Answer Link

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