SOLUTION: Find the focus and directrix of the parabola with the given equation. Then graph the parabola. y^=-12x

Algebra.Com
Question 481498: Find the focus and directrix of the parabola with the given equation. Then graph the parabola.
y^=-12x

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Find the focus and directrix of the parabola with the given equation. Then graph the parabola.
y^=-12x
**
y^2=-12x
This is an equation of a parabola with a horizontal axis of symmetry.
Its standard form: (y-k)^2=4p(x-h), with (h,k) being the (x,y) coordinates of the vertex.
For given equation:
Vertex(0,0)
4p=12
p=3
Focus:(-3,0)
Directrix: x=3
see the graph below as a visual check on the answers:
..
y=±(-12x)^.5

RELATED QUESTIONS

FIND THE EQUATION OF THE PARABOLA WITH THE GIVEN FOCUS AND DIRECTRIX. focus (-4,5)... (answered by Fombitz)
find the equation of the parabola with the given focus and directrix. focus... (answered by josgarithmetic,greenestamps)
18. Write an equation of a parabola with the given focus and directrix. Focus-(0,3),... (answered by ewatrrr)
the equation of a parabola with the given focus and directrix F(0,-5),... (answered by lwsshak3)
Write the equation of the parabola with given focus (0,-5) and directrix:... (answered by josgarithmetic)
Given that a parabola has a directrix of y=-3.25 and focus (0,-2.75), find the vertex. (answered by ewatrrr)
Please show work and thanks in advance. Find the equation of the parabola with the given (answered by lwsshak3)
find the equation of a parabola with the focus (-1,-4) and directrix... (answered by robertb)
FIND THE EQUATION OF THE PARABOLA WITH FOCUS (2,5) AND DIRECTRIX Y =... (answered by lwsshak3)