Answer:
Which is the equation of a parabola with focus (-5, 3) and vertex (-5, 6)?
Focus and Vertex are both on x = –5, so that’s the Axis of Symmetry.
Distance from Vertex to Focus is p = 3-6 = –3.
4p(y-k) = (x-h)^2
4(–3)(y–6) = (x-(-5))^2
–12(y–6) = (x+5)^2
y = (–1/12)(x+5)^2 + 6 <== Answer
Distance from Vertex to Directrix is –p = 3.
Directrix is y = 6+3 = 9.
Step-by-step explanation:
