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Let f(x)=3x2+2. The quadratic function g(x) is the function f(x) stretched vertically by a factor of 4. Enter the equation of g(x) in the box. g(x)= ?

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thisisgospel2002
f(x)= 3x^2 +2
Multiply by 4
4*(3x^2 +2)
Distribute the 4
12x^2 +8
Your answer is g(x)=12x^2+8

The equation of the function f(x) after stretching is g(x) = 12x² + 8.

What is function?

The function is defined as mathematics expression defines a relationship between one variable and another variable.

The function given is

f(x) =  3x²+2

For when a function is vertically stretched

g(x) = p .f(x)

The function f(x) stretched vertically by a factor of 4

Here  p = 4

The equation becomes

g(x) = 4( 3x²+2 )

g(x) = 12x² + 8

Hence, The equation of the function f(x) after stretching is g(x) = 12x² + 8.

Learn more about function here:

brainly.com/question/12431044

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