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Struggling with this (Also hoping my school doesnt find this since they know some of us are using brainly)

Describe the change in the graph of the parabola f(x) when it transforms into g(x) = two thirdsf(x).

The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).
The parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).
The parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Respuesta :

sqdancefan

Answer:

  (d)  opens the same; wider

Step-by-step explanation:

Multiplying a function by a constant has the effect of vertically scaling the graph of the function by a factor equal to that constant.

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Here, you're multiplying by 2/3, so each y-value is 2/3 of its previous distance from the x-axis. The effect on the graph of a parabola is to make it "flatter", hence wider in appearance. This does not change the direction in which it opens.

The attachment shows an example.

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