Question

The equation of the parabola with vertex at (1, 2) and focus at (2, 0) is:

• A. (x – 2)² = 8(y – 1)
• B. (y – 2)² = 8(x – 1)
• C. (x – 1)² = 4(y – 2)
• D. (x – 1)² = 8(y – 2)

Answer 1

The correct option is B

(y – 2)² = 8(x – 1)

Since the vertex is at (1, 2) and the focus is at (0, 2) which lies on X-axis, the X-axis is the axis of the parabola. Therefore, equation of the parabola is of the form Y² = 4aX.

Thus, we have (y – 2)² = 4(2)(x – 1), i.e., (y – 2)² = 8(x – 1).