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.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

read more on -

step-by-step explanation:

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).