Consider the function f(x) = x2 and the function g(x) = 3x2. How will the graph of g(x) differ from the graph of f(x)? Select the correct answer

The graph of g(x) is the graph of f(x) shifted to the left 3 units.

The graph of g(x) is the graph of f(x) stretched vertically by a factor of 3.

The graph of g(x) is the graph of f(x) compressed vertically by a factor of

The graph of g(x) is the graph of f(x) shifted up 3 units. ​

Third Choice - The graph of g(x) is the graph of f(x) compressed vertically by a factor of 3

Step-by-step explanation:

x^2 is the the parent function, so it opens up with a normal compression.

Any number > (greater than) 1 as a coefficient of x will lead to a vertical compression (narrower parabola), while any number < (less than) 1 as a coefficient of x will lead to a vertical stretch (wider parabola).

So, 3x^2 would have to have to be a compressed parabola.

I hope this helps!

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