SOLUTION: Sketch the curve, find the coordinate of the vertex and focus, and find the equation of the axis and directrix of x^2

SOLUTION: Sketch the curve, find the coordinate of the vertex and focus, and find the equation of the axis and directrix of x^2 - 6x + 8y + 25 = 0

Question 1119534: Sketch the curve, find the coordinate of the vertex and focus, and find the equation of the axis and directrix of x^2 - 6x + 8y + 25 = 0
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The equation has an x^2 term; the parabola opens either up or down. The general form of the equation is

where (h,k) is the vertex and p is the directed distance from the directrix to the vertex and from the vertex to the focus.

This is in the required form. The vertex is (3,-2); p = -2.

With vertex (3,-2) and p=-2, the focus is at (3,-4); the directrix is y=0; and the axis is x=3.

A graph...

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