CK-12-Pre-Calculus Concepts

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 9. Conics


2.


x^2 − 34 x+y^2 + 24 y+^7492 = 0
x^2 − 34 x+y^2 + 24 y=−^7492
x^2 − 34 x+ 289 +y^2 + 24 y+ 144 =−^7492 + 289 + 144
(x− 17 )^2 +(y+ 12 )^2 =^1172


  1. (x− 1 )^2 +(y+ 2 )^2 = 4


Practice


Graph the following conics:
1.(x+ 4 )^2 +(y− 3 )^2 = 1
2.(x− 7 )^2 +(y+ 1 )^2 = 4
3.(y+ 2 )^2 +(x− 1 )^2 = 9
4.x^2 +(y− 5 )^2 = 8
5.(x− 2 )^2 +y^2 = 16
Translate the following conics from standard form to graphing form.
6.x^2 − 4 x+y^2 + 10 y+ 18 = 0
7.x^2 + 2 x+y^2 − 8 y+ 1 = 0
8.x^2 − 6 x+y^2 − 4 y+ 12 = 0
9.x^2 + 2 x+y^2 + 14 y+ 25 = 0
10.x^2 − 2 x+y^2 − 2 y= 0
Write the equations for the following circles.
11.

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