SOLUTION: Give the focus, directrix, and axis for the parabola. {{{ (x-7)^2=16(y+5) }}}

Question 721910: Give the focus, directrix, and axis for the parabola.

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Give the focus, directrix, and axis for the parabola.

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(x-7)^2=16(y+5)
This is an equation of a parabola that opens upward:
Its basic form: (x-h)^2=4p(y-k), (h,k)=(x,y) coordinates of the vertex
For given equation:
vertex: (7,-5)
axis of symmetry: x=7
4p=16
p=4
focus: (7,-1) (p-distance above vertex on the axis of symmetry)
directrix: y=-9 (p-distance below vertex on the axis of symmetry)
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