Question

The graph of f(x) = x2 was transformed to create the graph of g(x) = 4x2. Which of these best describes this transformation?

OF. The graph will become narrower.
O G. The graph will become wider.
O H. The graph will shift 4 units up.
O J. The graph will shift 4 units to the right.

Answer 1

The graph will become narrower

Explanation:

Here, we want to get the transformation that will occur to the graphs

From what we have, there is a a parabolic graph for f(x) initially

Moving on, the f(x) values were multiplied by 4 to give g(x)

For a parabolic graph, the greater the coefficient of x^2, the narrower the graph will be

Since the coefficient of g(x) is greater, it is expected that the graph of g(x) be narrower