SOLUTION: write an equation for the parabola with the focus (4,0) and vertex (2,0)

Algebra.Com
Question 593440: write an equation for the parabola with the focus (4,0) and vertex (2,0)
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
write an equation for the parabola with the focus (4,0) and vertex (2,0)
This is a parabola that opens rightwards with equation of the standard form: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of the vertex.
..
For given parabola:
axis of symmetry: x-axis or y=0
p=2 (distance from focus to vertex on axis of symmetry)
4p=8
Equation:
y^2=8(x-2)

RELATED QUESTIONS

Write and equation for the parabola with a vertex (0,0) and focus (0,-1/12) (answered by josgarithmetic)
Parabolas write the equation of a parabola with the vertex (0,0) and the focus (0,-2) (answered by stanbon)
Write an equation of a parabola with a vertex at the origin. 8. focus (0, 2) 9.... (answered by nerdybill)
write an equation of a parabola with its vertex at the origin and the given... (answered by lwsshak3)
write the equation of a parabola with vertex (0,0) and focus... (answered by feliz1965)
Write an equation of a parabola with vertex at the origin and the given focus. 1. focus... (answered by lwsshak3)
Write the equation of a parabola with a vertex at (0, 0) and a focus at (-4,... (answered by lwsshak3)
What is the equation for the parabola with vertex (0, 0) and focus (5,... (answered by lwsshak3)
Write the vertex form for a parabola with the given characteristics. 1. vertex ( 0, 0) (answered by ewatrrr)
Write the vertex form for a parabola with the given characteristics. 1. vertex ( 0, 0) (answered by lwsshak3)