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Vertex Form Quadratic Equation of a Parabola problems

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 problems

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!



 

Conic Section Proof problems

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!






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