Question

Find the coordinates for the center for this circle.
(X+3)^2 + (y-5)^2 = 25

Answer 1

@ganeshie8

Answer 2

@ObeySoph▲

Answer 3

@thomaster

Answer 4

@zepdrix

Answer 5

General form of a circle:\[\Large\rm (x-\color{orangered}{h})^2 + (y-\color{royalblue}{k})^2 = r^2\]Where the center of the circle is at \(\Large\rm (\color{orangered}{h},~\color{royalblue}{k})\).
We were given:\[\Large\rm (x+3)^2 + (y-5)^2 = r^2\]We need subtraction in the x so we can clearly see our h value.
I'll write it as minus a negative,\[\Large\rm (x-\color{orangered}{(-3)})^2 + (y-\color{royalblue}{5})^2 = r^2\]Can you figure out the center coordinates from there?

Answer 6

Alright thank you a lot, would it be (-3, 5)

Answer 7

Yes, good job.

Answer 8

Alright thanks for your help