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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!



 

Locus of Points problems

Loci of Points problem example

Find the locus of points P(x, y) such that the distance from P to the y-axis is 5.

 

Solution to this Locus of Points practice problem is provided in the video below!



 

Locus of Points example question #2

Find the locus of points P(x, y) such that the distance of P from P1(1, 1) is one-half the distance of P from P2(-2, -2).

 

Solution to this Loci of Points practice problem is provided in the video below!



 

Loci of Points example #3

Find the locus of points P(x, y) such that P is equidistant from both axes.

 

Solution to this Locus of Points practice problem is provided in the video below!



 

Locus of Points example problem #4

Find the locus of points P(x, y) such that P is equidistant from (5, -1) and (3, -8).

 

Solution to this Loci of Points practice problem is provided in the video below!



 

Loci of Points example question #5

Find the locus of points P(x, y) such that P is equidistant from (-5, 3) and xy + 8 = 0.

 

Solution to this hard Locus of Points practice problem is provided in the video below!



 

Hard Locus of Points example

Find the locus of points P(x, y) such that the product of their distances from (0, 4) and (0, -4) is 16.

 

Solution to this Loci of Points practice problem is provided in the video below!



 




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