1. Graphing Parabolas
Without T-charts!

2. What’s the equation for a parabola?
Either
y = ax2 + bx + c Or
y = a(x – h)2 + k
We’re using this one from here on out

3. What’s a parabola look like?
A U
Or, like this:

4. There are many parts to a parabola

5. Stuff we already know Axis of Symmetry: x = h or y = k Vertex = (h, k)
Also, which direction does it open?
Up/Right if a is positive, Down/Left if a is negative

6. Focus Always at the same relative point: For vertical parabola:
(h, k + (1/4a))
For horizontal parabola:
(h + (1/4a), k)

7. Directrix
A line, either horizontal or vertical, that sits below the parabola.
Equation:
y = k – (1/4a) Or
x = h – (1/4a)

8. Latus Rectum
It always passes through the focus, parallel to the directrix (which means it’s horizontal/vertical)
It’s always the same length:
|1/a|