Order the group of parabolas from widest to narrowest

y = 1/4x 2, y = -1/2x 2, y = 3/2x 2

which option would it be?

a.
y = 1/4x 2, y = 3/2x 2, y = -1/2x 2

b.
y = -1/2x 2, y = 1/4x 2, y = 3/2x 2

c.
y = 1/4x 2, y = -1/2x 2, y = 3/2x 2

d.
y = 3/2x 2, y = -1/2x 2, y = 1/4x 2

C.

Step-by-step explanation:

Since, the upward or downward parabola with the least absolute value of coefficient of x² is widest while with the largest absolute value of coefficient of x² is narrowest,

Here, the given upward and downward parabolas,

Since,

Hence, by the above statement,

The order of parabolas from widest to narrowest,

Option 'C' is correct.