Conics - Parabola - Conic Sections
Conics - 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: distance between the vertex and the focus / directrix.
a: coefficient of the squared term
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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:
For each quadratic function, state the:
i) vertex
ii) axis of symmetry
iii) focus
iv) directrix
