Mathematics
what's the equation of a parabola

Question Description

using the distance formula what's the equation of a parabola with its focus at (0,7) and directrix at y=-7

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.

Final Answer

Thank you for the opportunity to help you with your question!

This is an equation of a parabola that opens left with vertex at origin.
Its basic form of equation: y^2=-4px
For given parabola:
vertex:(0,0)
axis of symmetry: y=0 
p=7 (distance from vertex to directrix and focus on the axis of symmetry)
4p=28


Please let me know if you need any clarification. I'm always happy to answer your questions.

ngunyag (125)
Duke University

Anonymous
I was struggling with this subject, and this helped me a ton!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4