Question

Choose the correct conic section to fit the equation (x-8)^2+(y-12)^2=25

Answer 1

Answer: a. Circle

Step-by-step explanation:

Given equation: $(x-8)^2+(y-12)^2=25$ which is equivalent to $(x-8)^2+(y-12)^2=5^2$

This equation is of the form $(x-h)^2+(y-k)^2=r^2$ which is the standard equation of a circle centered at (h,k) with radius r.

On comparing given equation to the standard equation of  circle we have, h=8 and k=12 and r =2.

Therefore, given equation represent a circle centered at (8,12) and radius=5 units.

Answer 2

It is a parabola because when you do the work, which I won't do for you, it ends up being a parabola, just saying hope this helps...