Question

Please help, I think its D but I know that things are usually the opposite of what you think when doing these types of problems.

Answer 1

A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.

Explanation:

The only thing that has changed is that x^2 is multiplied by 5.

If the x^2 is multiplied by a constant that has an absolute value less than 1, the parabola will undergo a vertical compression.

If the x^2 is multiplied by a constant that has an absolute value more than 1, the parabola will undergo a vertical stretch.

Since the absolute value of 5 is more than 1, A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.

Hope this helps!