Question

Let F(x) 3x^2+2

The quadratic function g(x) is the function f(x) stretch vertically by a factor of 4

Enter the equation of g(x) in the box

Answer 1

Answer: g(x)=12x^2+8

Step-by-step explanation:

original function f(x)=3x^2+2

Now to stretch function vertically and rename to g(x) we just multiply the function by 4;

g(x)=4(3x^2+2)=12x^2+8

Any questions feel free to ask. Thanks

Answer 2

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

What is a function ?

A function is a law that relates a dependent and an independent variable.

The function given is

F(x) =  3x²+2

For when a function is vertically stretched

F'(x) = k .F(x)

k >1

here it is given that k = 4

The equation becomes

g(x) = 4( 3x²+2 )

g(x) = 12x² + 8

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

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