Answer to Question #150665 in Analytic Geometry for Haley

Analytic Geometry

Question #150665

find the equation of a parabola with a focus at (0,-1) and a directrix at y=4

Expert's answer

$\sqrt{(x-0)^2+(y+1)^2}=y-4\\ \text{square both sides}\\ (x-0)^2+(y+1)^2=(y-4)^2\\ x^2+y^2+2y+1=y^2-8y+16\\ x^2+y^2-y^2+2y+8y+1-16=0\\ x^2+10y-15=0$

Learn more about our help with Assignments: Analytic Geometry

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. The circle whose center is located in the first coordinate quarter touches the axis Ox at the point
2. Find the focus and equation of the latus rectum if x^2+ky=0, where k>0
3. The plane 3x+4y+2z=1 touches the conicoid 3x^2+2y^2+z^2=1 True or false with full explanation
4. There exists no line with 1/√3,1/√2, 1/√6 as direction cosines. True or false with full explan
5. Two stations, located at M(−1.5, 0) and N(1.5, 0) (units are in km), simultaneously send sound sig
6. Find the centre and radius of the equation of the circle. 2x^2+2y^2-8x+5y+10=0
7. 12. What is the surface generated by a straight line that moves along a fixed curve, and which remai