SOLUTION: Find an equation for the parabola that has its vertex at the origin and satisfies the given condition.
Directrix has y-intercept 8
please explain what this means and how to s
Algebra.Com
Question 948701: Find an equation for the parabola that has its vertex at the origin and satisfies the given condition.
Directrix has y-intercept 8
please explain what this means and how to solve
Thank you
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Use the definition of a parabola and the Distance Formula directly. You need to know the focus of the parabola. The focus is on the opposite side of the vertex than the directrix. This will put the focus at (0,-8).
Distance from points (x,y) to (0,-8) equals distance from points (x,y) to (x,8).
Can you transcribe that into an equation using the Distance Formula, and simplify the equation?
Note also that you should draw a picture of this.
RELATED QUESTIONS
Find an equation for the parabola that has its vertex at the origin and satisfies the... (answered by MathLover1)
Find an equation for a parabola that has its vertex at the origin in the given condition
(answered by josgarithmetic)
Find an equation for the parabola that has its vertex at the origin and satisfies the... (answered by lwsshak3)
Find the equation for the parabola that has its vertex at the origin and the focal point... (answered by AnlytcPhil)
Find an equation for the parabola, that has its vertex at the origin and directrix y = 6.
(answered by ewatrrr)
A parabola has its vertex at the origin, and the equation of its directrix is y=-10. Find (answered by ewatrrr)
Find an equation for the parabola that has its vertex at the origin
and has its focus at (answered by MathLover1)
What is the equation of a parabola with the directrix of x=7 that has its vertex at the... (answered by josgarithmetic)
Find an equation for the parabola that has its vertex at the origin and has a focus at... (answered by josgarithmetic)