convert the equation of the parabola to standard form then, plot the vertex, the focus and ends of the latus rectum. find the equation of the directrix and graph the parabola.
y²- 4x -12y + 28 = 0
y²- 4x -12y + 28 = 0
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Answer:
Use the equation of the circle which is
(x - h)² + (y - k)² = r²
Where (h,k) is the point of the center and r is the radius.
x² + y² + 4x - 4y - 28 = 0
x² + 4x + y² - 4y - 28 = 0
(x² + 4x + 4) + (y² - 4y + 4) = 28
(x + 2)² + (y - 2)² = 28 + 4 + 4
(x + 2)² + (y - 2)² = 36
Center is (-2,2)
Radius is 6