Question

What is the equation of the following graph?

Answer 1

@Michele_Laino

Answer 2

It is a circumference whose center is C=(3,5) and radius R=4
so you have to apply this formula:
\[\Large {\left( {x - {x_C}} \right)^2}{\left( {y - {y_C}} \right)^2} = {R^2}\]
where
x_C, y_C are the coordinates of the center, and R is the radius

Answer 3

oops: I have made a typo, here is the right formula:
\[\Large {\left( {x - {x_C}} \right)^2} + {\left( {y - {y_C}} \right)^2} = {R^2}\]

Answer 4

so what is x and y ? @Michele_Laino

Answer 5

there, x and y are the variables, the independent and dependent variable respectively

Answer 6

you have to replace x_C with 3, y_C with 5, and R with 4, so what do you get?

Answer 7

(x-x3)^2+(y-y5)^2=16

Answer 8

better is:
\[\Large {\left( {x - 3} \right)^2} + {\left( {y - 5} \right)^2} = 16\]

Answer 9

am I right?

Answer 10

yes

Answer 11

@Michele_Laino yes thats better

Answer 12

ok! @audicolen

Answer 13

so that would be the equation, correct

Answer 14

@Michele_Laino so that would be that final equation of the circle correcr