This is the line that "reflects" a parabola over itself, at x = -b/2a or y = -b/2a.
Axis of Symmetry
100
If your parabola is described by (y-2)² = 12(x-1), what is the value of "P"?
P = 3
100
Find the vertex.
See board
100
0.5 x² + 0.5 y² = 0.5
Circle
100
The locus of all points constantly distant from a single other point.
Circle
200
This is a point on the parabola that is also on the Axis of Symmetry. It marks the parabola's "turning point."
Vertex
200
In a parabola defined by (x-h)² = 4p(y-k), which way will it open if "P" is negative?
It will open downwards
200
Find the focus.
See board
200
x² + 2x + 4y = 1
Parabola
200
What is the distance from the center to the furthest vertex from it in an ellipse?
Semimajor axis
300
This is a point "inside" the parabola near its center, towards which all "parallel" rays, such as light or sound, will be reflected.
Focus
300
If a parabola is described by y² = 4px and p > 0, which way will the parabola open up?
It will open to the right.
300
Find the axis of symmetry.
See board
300
x² + 4y² + 2x + 2y = -1
Ellipse
300
In an ellipse, the distance from point A (on the ellipse) to points B and C (inside the ellipse) combined is equal to the combined distance between point D (on the ellipse somewhere else) and points B and C. What are points B and C?
Foci
400
This is a line on the other side of the parabola; the parabola "bounces" away from it before they can touch.
Directrix
400
In a parabola described by x² = 4py, give the coordinates of the focus in terms of p.
The focus is at (0, p).
400
Find the directrix.
See board
400
(x-2)² / 4 + (y-1)² / 4 = 1
Circle
400
What term describes the "skewness" or "differentiation" of an ellipse from a perfect circle?
Eccentricity
500
This line segment, always parallel to the directrix, passes through the focus and runs "across" the parabola.
Latus Rectum
500
In a parabola defined by y² = 4px, what will be the equation of the directrix in terms of p?
x = -p.
500
Find the latus rectum.
See board
500
y² - 4x - 4y + 4 = 0
Parabola
500
What type of angles exists where the major axis intersects the minor axis?