24.2 Parabola
Parabola
Lessons
Notes:
parabola: a curve formed from all the points that are equidistant from the focus and the directrix.
vertex: midway between the focus and the directrix
focus: a point inside the parabola
directrix: a line outside the parabola and perpendicular to the axis of symmetry
conics formula for parabola:
$p = \frac{1}{{4a}}$ p: distance between the vertex and the focus / directrix.
a: coefficient of the squared term

3.
converting quadratic functions to vertex form by “completing the square”
Convert each quadratic function from general form to vertex form by completing the square. 
4.
finding the focus and directrix using the formula: $p = \frac{1}{{4a}}$
For each quadratic function, state the:
i) vertex
ii) axis of symmetry
iii) focus
iv) directrix