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# Category Archives: Parabola

## Vertex Form Quadratic Equation of a Parabola example problem

Express the following Parabolic Function Equation in Vertex Form:

f(x) = 12x2 + 24x + 48

Solution to this Vertex Form Quadratic Function practice problem is provided in the video below!

## Equation of Parabola problem example

Find Equations for Parabolas in standard position

(a) with Focus at (0, 7) and Directrix the line y = -7

(b) with Focus at (, 0) and Directrix the line x =

Solution to this Equation of Parabola practice problem is provided in the video below!

## Equation of Parabola example question #2

Find the Equation for Parabola in standard orientation with Focus at (-2, 3) and Directrix the line y = 1.

Solution to this Equation of Parabola practice problem is provided in the video below!

## Equation of a Parabola example #3

Use the Definition of the Parabola directly to find the equation of a parabola with Focus F(2, 2) and Directrix the line x + y + 2 = 0.

Solution to this Equation of Parabola practice problem is provided in the video below!

## Parabola Directrix Conic Section Proof example question

Show that in polar coordinates the equation of a conic section with (one) focus at the pole and directrix,

the line

can be written as

.

Solution to this Conic Section Proof practice problem is given in the video below!