Circles
Parabolas
Hyperbolas
Ellipses
Conic Sections
100
The standard equation of a circle
What is (x-h)² + (y-k)² = r²
100

The standard form of a parabola (2 possibilities)

What is y = 1/a(x – h)² + k or x = 1/a(y – k)² +h?

100

the standard form of a hyperbola (2 possibilities)

What is ((x-h)²)/a² - ((y-k)²)/b² = 1 or ((y-k)²)/a² - ((x-h)²)/b² = 1

100
The standard form of an ellipse (2 possibilities)
What is ((x-h)²)/a² + ((y-k)²)/b² = 1 or ((x-h)²)/b² + ((y-k)²)/a² = 1
100

What are the four conic sections shapes?

Parabola, Circles, Ellipses, and Hyperbola

200
The equation of a circle centered at (4, -3) with a radius of 5
What is (x-4)² + (y+3)² = 25
200

The focus of the equation x = -1/12(y + 5)² + 2 

What is (-1, -5)

200
The center and vertices of ((x+1)²)/9 - ((y+2)²)/16 = 1
What are (-1, -2) and (2, -2), (-4, -2)
200
The vertices of ((x-3)²)/36 + ((y+1)²)/9 = 1
What are (-3, -1) and (9, -1)
200

Identify the conic section x^2+y^2=49 and find the domain and range.

A circle. Domain: -7 <=x <=7 Range -7 <=y <=7

300
The equation of a circle with endpoints of the diameter (-4, 5) and (6, -3)
What is (x-1)² + (y-1)² = 41
300
A parabola is symmetric about the line perpendicular to the directrix through the focus
What is the axis of symmetry
300

The foci of ((y-7)²)/4 - x²/32 = 1

What are (0, 13) and (0, 1)

300

The major and minor axis and foci of ((x+4)²)/25 + ((y+3)²)/16 = 1

What are x = -4 (minor), y = -3 (major) and (-1, -3), (-7, -3)

300

Identify the conic section 4x^2+25y^2=100  and find the domain and range.

An ellipse. Domain: -5 <= x <= 5, Range -2 <= y <= 2

400
The center and radius of the circle with the equation x² + y² + 6x - 7 = 0
What is (-3, 0) and 4
400

The vertex, focus, axis of symmetry and directrix in the equation of x = 1/12(y - 2)² - 3 

What is (-3, 2), (0, 2), y=2, and x=-6

400

The equation for a hyperbola with vertices (-3, -12), (-3, -4) and foci (-3, -15), (-3, -1)

What is ((y+8)²)/16 - ((x+3)²)/33 = 1

400

The equation with major axis from (-6, 2) to (-6, -8) and minor axis from (-3, -3) to (-9, -3)

What is ((y+3)²)/25 + ((x+6)²)/9 = 1

400

The classification of the conic section 3x + 9y^2 - 2y + 4 = 0 

Discriminant = 0: Parabola

500
The center and radius of the circle with the equation x² + y² + 8x - 4y + 11 = 0
What is (-4, 2) and 3
500

y = - 1/4x² + 3x + 6 in standard form

What is y = -1/4(x - 6)² + 15

500
The standard form of the hyperbola 25x² - 16y² + 100x + 96y = 444
What is ((x+2)²)/16 - ((y-3)²)/25 = 1
500

The standard equation for 4x² + y² - 24x + 4y +24 = 0

What is ((x - 3)²)/4 + ((y + 2)²)/16 = 1

500

Write the standard form of the conic equation. 4y^2 - 36x^2 = 1. Identify the conic. Find the domain and range.

A hyperbola. Domain: All real numbers. Range: y >= 0.5 or y <= -0.5

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