Which equation has the steepest parabola? A. (x+2)2=−0.5(y+3)
B. (x−1)2=5(y+3)
C. x2=8(y−1)
D. (x+2)2=−10y

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

where , the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A,

For option B,

For option C,

For option D,

Since, the equation is option A has smallest value of |p|, therefore, the equation represents the steepest parabola.

Hence, the correct option is A.

why can't you?

step-by-step explanation: