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When the function f(x) = x^2 is multiplied by the value a, when a > 1, how will that affect the graph of the new function, g(x) = ax^2 ?
(1) opens upward and is wider
(3) opens upward and is narrower
(2) opens downward and is wider
(4) opens downward and is narrower

Respuesta :

facundo3141592

The function opens upward and is narrower, because we have a vertical dilation.

How is the function transformed?

For a function f(x), a vertical dilation of scale factor k is:

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

  • if k > 1, we have a dilation.
  • if 0 < k < 1, we have a contraction.

In this case, the scale factor is a, and we know that a > 1, so we have a dilation.

Then the correct option is 3, the function still opens upwards (because a is positive) and is narrower.

If you want to learn more about dilations:

https://brainly.com/question/3457976

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