| Question | Answer |
| Three points --> Standard Form | Substitute points --
Solve system with matrix |
| Vertex & Point --> Vertex Form | Substitute point and vertex --
Find "a" |
| Focus & Vertex --> Focus form | Substitute "c" --
Substitute vertex |
| Standard Form --> Vertex Form | Use -b/2a to get vertex --
Use "a" value |
| Vertex Form --> Standard Form | Expand the binomial square --
Simplify |
| Vertex Form --> Focus Form | a = 1/4c |
| Focus Form --> Vertex Form | a = 1/4c |
| Standard Form --> Graph | Use -b/2a to get vertex --
"c" is y-intercept --
"a" is stretch factor |
| Vertex Form --> Graph | (h, k) vertex --
"a" is stretch factor |
| Focus Form --> Graph | (h, k) vertex --
"c" is focal length |
| Standard Form Formula | y=ax^2 + bx + c |
| Vertex Form Formula - Vertical Parabola | y=a(x - h)^2 + k |
| Vertex Form Formula - Horizontal Parabola | x=a(y - k)^2 + h --
be careful of (h, k) placement |
| Focus Form Formula - Vertical Parabola | y=1/4c(x - h)^2 + k |
| Focus Form Formula - Horizontal Parabola | x=1/4c(y - k)^2 + h --
be careful of (h, k) placement |
