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The graph of the function y = x^2 is shown. How will the graph change if the equation is changed to y = 2x^2?

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE The graph of the function y x2 is shown How will the graph change if the equation is changed to y 2x2 class=

Respuesta :

B) The parabola will become narrower. Since its a horizontal compression.

Answer:   B) the graph will become narrower

Step-by-step explanation:

The general form of a quadratic function is: y = a(x - h)² + k   where

  • a is the vertical stretch
  • (h, k) is the vertex
  • h is the shift left or right, k is the shift up or down

The given equation has an a-value of 2, so the graph is stretched by a factor of 2 --> which means the parabola becomes narrower.