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).

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).

damonte212 · Answer

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.