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Conic Sections


1)Describe (x-h)^2+(y-k)^2 = r^2 1)Circle with center at (h,k)
2)Describe (x-h)^2/a^2 + (y-k)^2/b^2 = 1 2)Ellipse with a horizontal major axis
3)Describe (x-h)^2/a^2 - (y-k)^2/b^2 = 1 3)Hyperbola going left and right
4)Describe y = ax^2 4)Parabola going up or down
5)Describe x = ay^2 5)Parabola going left or right
6)Describe (y-h)^2/a^2 + (x-k)^2/b^2 = 1 6)Ellipse with a vertical major axis
7)Describe (y-h)^2/a^2 - (x-k)^2/b^2 = 1 7)Hyperbola going up and down
8)Describe y-k = a(x-h)^2 or y = a(x-h)^2 + k 8)Parabola opening up or down with vertex at (h,k)
9)Describe x – h = a(y-k)^2 or x = a(y – k)^2 + h 9)Parabola opening left or right with vertex at (h,k)
10)Contic? Center? x^2 + y^2 = r^2 10)Circle with center at (0,0)
11)Describe x^2/a^2 +y^2/b^2 =1 11)Ellipse with horizontal major axis with center (0,0)
12)Describe x^2/b^2 +y^2/a^2 =1 12)Ellipse with vertical major axis with center (0,0)
13)Conic? Direction? x^2/a^2 -y^2/b^2 =1 13)Hyperbola Right and Left
14)Conic? Direction? y^2/a^2 -x^2/b^2 =1 14)Hyperbola Up and Down
15)V? CV? x^2/49+y^/121=1 15)Ellipse V(0,+or- 11), CV(+or-7,0)
16)Center? r? x^2+y^2=4 16)Circle center (0,0) r= 2
17)Vertex? Direction? x^2/25-y^2/4=1 17)Hyperbola V(0,+or-5) D = right,left
18)Conic? Vertex? x=2y^2+5 18)Parabola V(5,0)
19)Graph x^2/36-y^2/225=1 Look at graph
20)Graph y^2/400-x^2/169=1 Look at graph
21)Graph 2x^2=y Look at graph
22)Graph x^2/81+y^2/36=1 Look at graph
23)Graph x^2/25+y^2/121=1 Look at graph
24)Graph x=2y^2 Look at graph
25)Graph -x^2 + y^2 +4y -16 =0 Look at graph
Created by: tamshipp