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The graph of the function y = x2 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=

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nick2699

Answer:

The parabola will become narrower.

Step-by-step explanation:

Because of the coefficient 2, every value of x² is doubled, which means higher value on the same X coordinate, compared to the y = x² function.

tramserran

Answer: B) The parabola will become narrower

Step-by-step explanation:

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

  • "a" is the vertical stretch (shrink/compression if |a| < 1)
  • (h, k) is the vertex

In the given equation of y = 2x², the a-value has increased so it is stretched.  When the graph stretches, the sides will get closer together thus the parabola will become narrower.

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