Question

If the quadratic functions for the equations are graphed, which is the widest?

A)
y = x^2


B)
y = 2x^2


C)
y = 6x^2


D)
y=1/4 x^2

Answer 1

D) y = 1/4 x^2

Explanation:

For these functions, the leading coefficient can be considered to be either ...

the vertical scale factor (larger ⇒ narrower)

the square of the inverse of the horizontal scale factor.

In the latter case, the horizontal scale factor will be larger (wider) when its inverse and the square of its inverse are smaller.

Either way, you're looking for the smallest leading coefficient: 1/4.