PLEASE HELP!!!! THANK YOU!!!

The graph of the function y = x2 is shown. How will the graph change if the equation is changed to y = 2x2?
A) The parabola will become wider.
B) The parabola will become narrower.
C) The parabola will move up 2 units.
D) The parabola will move down 2 units.

PLEASE HELP THANK YOU The graph of the function y x2 is shown How will the graph change if the equation is changed to y 2x2 A The parabola will become wider B T class=

Respuesta :

The equation describes a relationship between the variables A and B. The graph is a visual representation of this on a Cartesian plane. The parabola will become narrower in this case as the equation is changing from a smaller relative value of Y to a larger relative value of Y.

The parabola will become narrower, the correct option is B.

How the graph will change?

For a function f(x), we define a vertical stretch of scale factor k as:

g(x) = k*f(x).

If k > 1, we have a stretch, if 0 < k < 1, we have a contraction.

In this case, we have:

  • f(x) = x^2
  • g(x) = 2*x^2

So we have a vertical stretch of scale factor 2, this means that we are stretching our function vertically, so it will become narrower, meaning that the correct option is B.

If you want to learn more about transformations, you can read:

https://brainly.com/question/4289712

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