Hyperbolas
Circles
Ellipses
Parabolas
Classify the Conics
100
Write the horizontal equation with center at the origin?
What is x²/a² - y²/b²=1
100
Write the equation for the circle. Center: (0,0) Area: 64π
What is x²+y²=64
100
Write the equation for the ellipse: Center: (0,0) a: 8 b: 1 width: 16
What is x²/64 +y²/1=1
100
Use the following information to write the transformational form: Vertex: (0,0) Focus: (0,-1/16)
What is -1/4y=x²
100
Classify the following Conic: y²+x+8y+12=0
What is a parabola
200
Find a in the following equation: y²/16 - x²/36=1
What is a=4
200
Write the equation for the circle: Center: (0,0) Point on circle: (15,3)
What is x²+y²=234
200
Write the ellipse equation for the following information: Center: (0,0) Vertex: (0,-5) Focus: (0,4)
What is x²/9+y²/25=1
200
Use the following information to write the transformational form: Vertex: (4,10) Focus: (15/4, 10)
What is (y-4)²=-1(x-10)
200
Classify the following Conic: 9x²-4y²-36=0
What is a hyperbola
300
Use the information provided to write the standard form equation of the hyperbola. Vertices: (0,15), (0,-15) Endpoints on Conjugate Axis: (7,0), (-7,0)
What is y²/16-x²/36=1
300
Write the equation for the circle: Center: (-2, -3) Radius: 4
What is (x+2)²+(y+3)²=16
300
Write the ellipse equation using the following information. Endpoints of Major Axis: (-9,1), (-9,-19) Endpoints of Minor Axis: (-2,-9), (-16,-9)
What is (x+9)²/49+(y+9)²/100=1
300
Use the following information to write the transformational form: x²+16x+4y+64=0
What is (x+8)²=-1/4y
300
Classify the following Conic: x²+y²+2y-24=0
What is a circle
400
What is the horizontal equation of a center not at the origin?
What is (x-h)²/a² - (y-k)²/b²=1
400
Write the equation for the circle: Center: (0,0) Circumference: 20π
What is x²+y²=100
400
Write the ellipse equation using the following information. Major Axis is horizontal. Center: (0,0) Major Axis: 22 units Minor Axis: 4 units
What is x²/121+y²/4=1
400
Use the following information to write the transformational form: -2x²+28x+y-107=0
What is (x-7)²=1/2(y-9)
400
Classify the following Conic: -16x²+9y²+32x+18y-151=0
What is a hyperbola
500
Identify the vertices, center, foci, asymptotes, length of transverse axis, and length of conjugate axis. -4x²+y²-4=0
What is vertices: (0,2), (0,-2). Center: (0,0). Foci: (0, √5), (0,-√5). Asyptote: y=2/x. Transverse Axis: 4. Conjugate Axis: 2.
500
Find the equation for the circle: End of diameter: (-1, 15) (1,-15) Center: (0,0)
What is x²+y²=904
500
Using the following eqaution, write the ellipse equation in standard form. 25x²+16y²+150x+32y-159=0
What is (x+3)²/16+(y+1)²/25=1
500
Write the parabola equation using the following information: Focus: (-39/4,-8) Directrix: -41/4
What is (y+8)²=(x+10)
500
9x²+4y²+36x+32y+64=0
What is an ellipse