Final answer:
The graph of y=3/4x^2 is narrower than the graph of y=1/2x^2 because a higher coefficient of x^2 causes the parabola to open more steeply, making it narrower.
Step-by-step explanation:
The question asks which graph is narrower between the functions y=3/4x^2 and y=1/2x^2.
The graph of a quadratic function like this is a parabola, and the coefficient of x^2 determines its width.
A larger coefficient results in a narrower graph as it causes the parabola to open upwards more steeply.
Therefore, the graph of y=3/4x^2 is narrower than the graph of y=1/2x^2 because 3/4 is greater than 1/2.