## iheartfood 2 years ago Identify the equation (drawn inside) in standard form. Identify which type of conic section it represents.

1. iheartfood

|dw:1356129573990:dw|

2. iheartfood

i think its a circle... is that right?? is that the type of conic section that equation represents?? a circle??? :) but idk how to make it into standard form :/

3. tyteen4a03

Yes, it's a circle. Hint: The standard form of a circle is \((x-h)^2 + (y-k)^2 = r^2\). Group like terms together and complete the square.

4. iheartfood

okay yay!! so would i get (x-3)^2+(y-5)^2=13 ??? is that the equation in standard form?? ;/

5. jim_thompson5910

yes it's in standard form, good job

6. jim_thompson5910

that tells you that this thing is a circle

7. iheartfood

awesome!! so i'm right?? i got the standard form correct and its a circle?? its correct?? so I'm done?? :D

8. jim_thompson5910

yep

9. jim_thompson5910

you probably want to list the center and radius though

10. iheartfood

aweosme! :) thanks :) so the center would be (3,5) and the radius would be about 3.6 ?

11. jim_thompson5910

or just sqrt(13) works

12. iheartfood

okay!! thanks :)