SOLUTION: equation of parabola with focus (3,0) and directrix x+5=0

Question 953622: equation of parabola with focus (3,0) and directrix x+5=0

Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Follow the definition OF A PARABOLA and use the Distance Formula.
The directrix is same as x=-5, no restriction on y, for general points (-5,y).

Simplify that and put into the form desired.

The parabola is the set of points equally distant from a point and a line. The left member shows distance from (x,y) to given point, the focus, (3,0); and the right member shows the distance from (x,y) to the given directrix x=-5. Those two distances must be equal for a parabola.
RELATED QUESTIONS
What are the focus and directrix of the parabola with the equation y = 1/12x2? focus: (answered by MathLover1)

Find the equation of the parabola with focus (0,-3) and directrix y =... (answered by josgarithmetic)

find the equation of the parabola with focus (8,5) and directrix... (answered by lwsshak3)

What is the equation of a parabola with a directrix x = 8 and focus (-8, 0). (answered by josgarithmetic)

Find the equation of the parabola with focus at (8,0) and directrix... (answered by greenestamps)

Find an equation of a parabola with a) focus(0,-7) and directrix x = 7 b) focus(5,0)... (answered by lwsshak3)

Find the equation for a parabola with its focus at (5, 0) and a directrix of x =... (answered by josgarithmetic)

Find the equation for a parabola with its focus at (5, 0) and a directrix of x =... (answered by lwsshak3)

the equation of a parabola with the given focus and directrix F(0,-5),... (answered by lwsshak3)