Question

Austin wants to sketch the graph of a circle represented by the given equation.

(x + 6)2 + (y + 2)2 = 16

Using complete sentences, describe the steps used to sketch the circle on a coordinate grid

Answer 1

@jim_thompson5910 @Hero

Answer 2

@ganeshie8

Answer 3

can you identify the center?

Answer 4

It would be (-6,-2)?

Answer 5

good

Answer 6

the radius is____

Answer 7

8 right?

Answer 8

no

Answer 9

in general, the radius of

(x-h)^2+(y-k)^2=r^2

is r

Answer 10

so for example, the radius of

(x-2)^2+(y-9)^2=7^2

is r = 7

Answer 11

Alrighty

Answer 12

so the radius of (x + 6)^2 + (y + 2)^2 = 16 is what?

Answer 13

I wanna say -8 but i know thats wrong, so idk, im not good at this im sorry

Answer 14

its ok, just don't give up

Answer 15

16 is the same as 4^2, agreed?

Answer 16

oh yes, agree

Answer 17

ok so that matches with the r^2

Answer 18

so basically

r^2 = 16

r^2 =4^2

r = ???

Answer 19

4?

Answer 20

good

Answer 21

so to sum up what you found so far

center: (-6,-2)

radius: 4

Answer 22

those two combined together uniquely determine a circle

Answer 23

so basically that's all you need to draw the circle

Answer 24

if you were doing it on paper, you would start with a blank xy axis like this

Answer 25

you would then plot the center (-6,-2)