Section 10.5:  Parabolas

Pre­Calculus

April 08, 2016

General Form

Opens up/downx2 + Dx + Ey + F = 0

Opens right/lefty2 + Dx + Ey + F = 0

Section 10.5: Parabolas (Day 2)

Standard Form

Opens up/down(x-h)2 = 4p(y-k)

Opens right/left(y-k)2 = 4p(x-h)

1. Write in standard form

y2 - 8y - x + 18 = 0

Section 10.5:  Parabolas

Pre­Calculus

April 08, 2016

2. Write in standard form

2x2 - 8x + y + 6 = 0

Write an equation for the parabola in standard form.3.) Vertex is at the origin, a focus is at (0, -4)

4.) Focus is at (-3, 2), directrix is at y = -6

Section 10.5:  Parabolas

Pre­Calculus

April 08, 2016

5.) Parabola passes through the point (9, -2), has a vertex at (5, -1) and opens downward. Write the equation in standard form.