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Slay Kings and Queens
No Cap- you aren't cooked
Periotttt.
Vibe Check: Do you know your conics?
Conics are living rent free in my head
100

Write the standard form equation of a circle. 

(x-h)2 + (y-k)2 = r2

100

Identify the conic section: 

-x2 + 16y2 + 96y +128 = 0

Hyperbola 

100

Given the equation (x-1)2 + (y+4)2 = 18, identify the radius and center.

Center: (1,-4) 

Radius: 4.24

100

In a parabola, what does (h, k) give?

The vertex.

100

Convert into standard form and identify the conic section. 4x2 + 9y2 = 36

Ellipse. 4x2 / 36+ 9y2 / 36= 1

200
Write the standard form of a circle with a center at (3,-2) and a radius of 5.

(x-3)2 + (y+2)2 = 25

200

Write the equation of a parabola with vertex at (2, 3) that opens upwards and has a focal length of 4.

(x-2)2 =16(y-3)

200

How do you recognize the transverse axis from the standard form of a hyperbola? 

The positive variable.
200

Write the standard form of an ellipse and hyperbola. Clearly label each one. 

Ellipse:

((x-h)2  / a2 )+((y-k)2 / b2)= 1

Hyperbola: 

((x-h)2  / a2 )-((y-k)2 / b2)= 1

200

Give the definition of a major and minor axis. 

The major axis is the longest axis of symmetry in an ellipse and the minor is the shortest axis of symmetry. 

300
In an ellipse, co-vertices are endpoints for which axis?

Minor Axis

300

For the following:

y = 8(x-1)2 + 4

identify the vertex and the direction of opening. 

Vertex: (1,4) and opens vertically (upwards).

300
If the x variable of a hyperbola is positive, the axis given by this would contain the endpoints known as?

Vertices 

300

How do you know if an ellipse is horizontal or vertical?

The larger denominator is under the x variable if the ellipse is horizontal. The larger denominator is under the y variable if the ellipse is vertical.

400

 

 

400

Convert the following to standard form and identify the conic section.

x2+y2−6x−8y+9=0

Circle. (x-3)2+(y-4)2 = 16

400

Given: 

((y-6)2 / 16)- ((x+4)2 / 25) = 1

Identify the center, vertices, and foci of the hyperbola. 

FINISH THIS LATER

500

What is the general form of the ellipse with center at the origin, a major axis of length 10, and a minor axis of length 6?

9x2 + 25y2 = 225

500

Given that an ellipse has foci at (7, 0) and (-7,0) and the endpoints of the minor axis are (0,5) and (0, -5), write the equation of the ellipse in standard form.

FINISH THIS LATER

500

Given the following: 

The major axis is horizontal, with a center at (0,0), a major axis that is 12 units long, and a minor axis that is 4 units long, write the standard form equation of the ellipse. 

((x2) / 36) + ((y2) / 4) = 1