Question

What is the standard form of the equation of the circle in this graph?

Answer 1

You must determine the \(\textbf{center}\) first. Can you tell me what it is?

Answer 2

Sure! I just posted the image I'm given.

Answer 3

Hmm. So can you tell me what the center is from that graph?

Answer 4

The center is (-3, 1)

Answer 5

Good job—now can you tell me the equation of a circle?

Answer 6

might wanna find radius first ... since your gathering the parts

Answer 7

Yep, I agree. I don't think that there is a circle given, so we'd just keep it \(r^2\).

Answer 8

Maybe the blue part is the circle?

Answer 9

teh blue outline is the circle, the red dot is the center

Answer 10

Oh, yes. I thought that they made it as an outline for the beauty ;)

Answer 11

I wish I could give you more information/help, but I am clueless on these types of questions. Here are the answers I am given.

Answer 12

Do you know the radius of the circle?

Answer 13

the answers at least tell us what form they want, since i can never recall what the different names go to :)

Answer 14

The radius is 1, diameter is 2

Answer 15

Yes, it is.
I know that you know that I know that you know that you know what the equation of a circle is ;)

Answer 16

Since the last question you asked gave you the equation of a circle, I suppose that you still know it.

Answer 17

ohhhhhhh, is it (x-3)^2+(y+1)^2=2? I am so durp.

Answer 18

if we know the center (cx,cy) and the radius r; we just fill those into the formula:

\[(x-cx)^2+(y-cy)^2=r^2\]

Answer 19

r^2 not= 2 for starters

Answer 20

Yep.

Answer 21

\(r^2 = (1)^2\)

Answer 22

I got it amistre64, thank you both, you're awesome.

Answer 23

You're welcome!

Answer 24

youre welcome, but the answer youve posted is in error

Answer 25

Amistre played a big role here, so I want to thank him too :)

Answer 26

@amistre64 I have never seen the c there before. What's the purpose? I've only see it in the form:
\[(x - h)^2 + (y - k)^2 = r^2\]

Answer 27

What's \(1^2\)? @heavenseven77

Answer 28

@Calcmathlete different notations. c means 'center'.

Answer 29

cx stands for center x component

cy stands for center y component

seems more intuitive to me than h adn k

Answer 30

oh ok alright thanks.

Answer 31

the original poster seems to ha ve moved on, prolly taking a timed "thing" and doesnt have time for the details :)

Answer 32

I think I got it. Thought I closed this thing??

Answer 33

But we still are allowed to post here. ;)

Answer 34

closed doesnt mean gone; just takes it off the board to make room for others

Answer 35

our concern is that the answer you suggested doesnt fit the correct answer that we know it to be