Question

How does the graph of g(x) compare to the graph of f(x) if f(x) = x2 and g(x) = 3x2?


Both graphs are S-shaped curves that increase from left to right, but g(x) is narrower than f(x).

Both graphs are parabolas that curve upward, but g(x) is narrower than f(x).

Both graphs are S-shaped curves that decrease from left to right, but g(x) is wider than f(x).

Both graphs are parabolas that curve downward, but g(x) is narrower than f(x).

Answer 1

x^2 is positive, so the parabola curves upwards. It is not an S curve because x^3 gives S curves.

When a is the coefficient of x in the fuction - f(ax) then the x values are divided by a making them narrower.