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Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = negative one half. A f(x) = −(x + 2)2 − three fourths B f(x) = (x + 2)2 + three fourths C f(x) = −(x − 2)2 + three fourths D f(x) = −(x − 2)2 − three fourths
Vertex form of a parabola is y = a(x - h)^2 + k where (h, k) is the vertex.
The answer is C.
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