SOLUTION: Can you please help with the following question? For the parabola x^2 - 8x - y + 19 = 0, 1. Convert the equation to vertex form 2. Find the vertex 3. Find the axis of symmetr

Question 409741: Can you please help with the following question?
For the parabola x^2 - 8x - y + 19 = 0,
1. Convert the equation to vertex form
2. Find the vertex
3. Find the axis of symmetry
4. Find the focus
5. Find the directrix
Thank you!!!!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For the parabola x^2 - 8x - y + 19 = 0,
1. Convert the equation to vertex form
x^2-8x+16 = y-19+16
(x-4)^2 = y-3
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2. Find the vertex: (4,3)
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3. Find the axis of symmetry: x = 4
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4. Find the focus
4p = 1
p = 1/4
----
Focus: (4,13/4)
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5. Find the directrix
y = 4-(1/4) = 15/4
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Cheers,
Stan H.

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