<PRE><B>Question 1030334</B>
4y^2 -16x +8y -12 = 0
:
Rewrite grouping like terms
:
4y^2 +8y -16x -12 = 0
:
Divide both sides of = by 4
:
y^2 +2y -4x -3 = 0
:
This is a parabola that opens to the right
:
y^2 +2y = 4x +3
:
Complete the square
:
y^2 +2y +1 = 4x +4
:
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standard form is
(y+1)^2 = 4(x+1)
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:
Vertex is (-1, -1)
Focus is (0, -1)
Directrix is (x = -2)
:
Formulas - parabola opening right
(y-h)^2 = 4p(x-k)
Vertex = (h, k)
Focus = (h+p, k)
Directrix = (x = h - p)
:
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