Question

The graph of f(x) = x² is shown on the grid. Which

statement about the relationship between the graph of
f and the graph of g(x) = 5x² is true?

The graph of g is narrower than the graph of f.

The graph of g is wider than the graph of f.

The graph of g is 5 units below the graph of f.

The graph of g is 5 units above the graph of f.

Answer 1

The graph of f(x) = x² is a parabola that opens upwards, with the vertex at the origin (0,0). Since the coefficient of x² is positive, the graph of f is wider than the graph of the parent function y = x².

The graph of g(x) = 5x² is a parabola that also opens upwards, with the vertex at the origin (0,0). However, since the coefficient of x² is now 5 (larger than 1), the graph of g is narrower than the graph of the parent function y = x². This means that the statement "the graph of g is narrower than the graph of f" is true.

Therefore, the answer is "The graph of g is narrower than the graph of f."