SOLUTION: Write the equation of a parabola with vertex (1, -9) and directrix y = -9 - 7. What is the focus of the equation? What is the axis of symmetry?

Question 794245: Write the equation of a parabola with vertex (1, -9) and directrix y = -9 - 7.
What is the focus of the equation?
What is the axis of symmetry?

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Write the equation of a parabola with vertex (1, -9) and directrix y = -9 - 7.
What is the focus of the equation?
What is the axis of symmetry?
***
I assume you meant the directrix to be y=-7
Parabola opens downward
Its basic form of equation:(x-h)^2=-4p(y-k)
For given parabola:
p=2 (distance from vertex to directrix on the axis of symmetry)
4p=8
equation:(x-1)^2=-8(y+9)
axis of symmetry: x=1
focus: (1,-11) (p-distance below vertex on the axis of symmetry)
RELATED QUESTIONS
Write the equation of a parabola with vertex (1,-9) and directrix... (answered by ewatrrr)

(y + 5/2)2 = -5(x - 2/9) please help me know What is the vertex, focus, directrix and (answered by josgarithmetic,solver91311)

1. Find the standard form of the equation of the parabola with a focus at (0, -9) and a... (answered by josgarithmetic)

A.) What is an equation of the parabola with vertex at the origin and focus (-5,0)? (answered by lwsshak3)

With vertex (2, -3) and directrix y=-7... What is the equation of the... (answered by lwsshak3)

Write an equation of a parabola with a vertex at the origin. 8. focus (0, 2) 9.... (answered by nerdybill)

18. Write an equation of a parabola with the given focus and directrix. Focus-(0,3),... (answered by ewatrrr)

what is the standard equation with a vertex of (2,3), and focus(2,5), with a directrix... (answered by josgarithmetic,greenestamps)

What are the focus and directrix of the parabola with the equation y = 1/12x2? focus: (answered by MathLover1)