Show:
circles
ellipses
hyperbolas
parabolas
classify the conic
100
Center: (0,0) Radius: 3sqrt(22) Find the equation
What is x^2+y^2=198
100
Center: (0,0) Vertex: (0,4) Co-vertex: (3,0) Find the equation
What is x^2/9+y^2/16=1
100
x^2/16-y^2/9=1 Find the co-vertices, vertices, and the foci
What is vertices: (4,0)(-4,0) co-vertices: (0,3)(0,-3) foci: (5,0)(-5,0)
100
4y=x^2 Find the focus
What is (0,1)
100
x^2+y^2-4=0
What is a circle
200
Center: (0,0) Point on a Circle: (13,6) Find the radius
What is sqrt(205)
200
Center:(-2,0) c^2=sqrt(5) Major is 6 Find the equation
What is (x-2)^2/9+y^2/4=1
200
(x+1)^2/4-^y-1)^2/16=1 Find the transverse and conjugate axis
What is transverse axis: 4 units Conjugate axis: 8 units
200
x=y^2 Find the directrix
What is x=-1/4
200
9x^2+y^2+54x+72=0
What is an ellipse
300
Center: (11,-14) Circumference: 8pi Write the equation
What is (x-11)^2+(y+14)^2=16
300
x^2+y^2/36=1 Use the equation to find the major and minor
What is major=12 and minor=2
300
Vertices: (-6,-4) Conjugate axis is 24 units long Find the equation
What is (y+7)^2/9-(x+6)^2/144=1
300
Vertex at origin Directrix: y=-1/4 Find the equation
What is y=x^2
300
x^2+y^2+8x-2y+8=0
What is a circle
400
Center: (-3,-15) Point of a Circle : (-7,-15) Find the equation
What is (x+3)^2+(y+15)^2=16
400
x^2/25+y^2/169=1 Find the focus
What is 12
400
Vertices: (0,8)(0,-8) perimeter of central rectangle=56 Find the equation
What is y^2/64-x^2/36=1
400
Focus: (-2,33/16) Directrix: y= 31/16 Find the equation
What is 1/4(y-2)=(x+2)^2
400
25x^2-4y^2-100x=0
What is a hyperbola
500
x^2+y^2=256 Translated 4 left, 1 up Find the new equation
What is (x+4)^2+(y-1)^2=256
500
9x^2+4y^2-18x+8y=23 Write the equation in standard form
What is (x-1)^2/4+(y+1)^2/9=1
500
Foci: (0,13) (0,-13) Asymptotes: y=12/5x y=-12/5 Find the equation and vertices
What is y^2/144-x^2/25=1 Vertices: (0,12)(0,-12)
500
Vertex: (-9,3) Directrix: x=-9.5 Find the equation
What is (y-3)^2=2(x+9)
500
y^2+x-10y+26=0
What is a parabola