A parabola is drawn with focus at (3, 4) and vertex at the focus of the parabola y^2 - 12x - 4y + 4 = 0 . The equation of the parabola is

Parabola

Parabola Equation from Focus and Vertex

Grade 11

Question:

A parabola is drawn with focus at (3, 4) and vertex at the focus of the parabola y^2 - 12x - 4y + 4 = 0. The equation of the parabola is

(a) x^2 - 6x - 8y + 25 = 0

(b) y^2 - 8x - 6y + 25 = 0

(c) x^2 - 6x + 8y - 25 = 0

(d) x^2 + 6x - 8y - 25 = 0

Key Concept: Find the focus of the given parabola, then use it as the vertex of the new parabola with given focus to find the equation.

No solution provided in text.

Correct Answer: B