SOLUTION: I have a "conic invasion" worksheet. I have to tell by the equation the type of figure and the specific info needed to graph the equation. PLEASE HELP ME! im not asking for the ans

Question 195669: I have a "conic invasion" worksheet. I have to tell by the equation the type of figure and the specific info needed to graph the equation. PLEASE HELP ME! im not asking for the answers or anything (unless youre feeling generous :) just how to get these started im totally lost.
1.y^2+9(x+13)^2=9
2.x^2+y^2=144 for 10>or=y>or=-12
3.x^2+y^2+10x-10y+46=0
4.y+1=0 for 2>or=x>or=-2
5.2x^2-49y+392=0 for y 6.(y^2)/9 + [(x-13)^2]/1=1
7.3x+2y=4 for 2>or=x>or=0
8.2x^2-49y=294 for y 9.15x+7y=175 for 7>or=x>or=-2
10.5x^2-49y=441 for y 11.15x-7y+175=0 for 0>or=x>or=-2
12.3x-2y+4=0 for 0>or=x>or=-2
13.(x-5)^2+(y-5)^2=4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Method # 1

Simply get each equation into the form and use the following properties:

If , and , then the equation is a circle

If and , then the equation is an ellipse

If , then the equation is a parabola

If , then the equation is a hyperbola

Method # 2:

Try to get each equation into one of the following forms:

Circle:

Ellipse:

Hyperbola: (parabolas open in x-direction)

Hyperbola: (parabolas open in y-direction)

Parabola (vertex form): , or

Parabola (vertex form): (standard form)

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