Question

The parabola having its focus at (3, 2) and directrix along the y-axis has its vertex at

• A. (2, 2)
• B. \( \left( \frac{3}{2}, 2 \right) \)
• C. \( \left( 3, \frac{2}{3} \right) \)
• D. \( (1, 2) \)

Hint:

For a parabola, the vertex is the midpoint between the focus and directrix.

Answer 1

The Correct Option is B

The equation for a parabola with the given focus and directrix can be found using the standard form of the equation of a parabola. The vertex is the midpoint of the focus and directrix.
Final Answer: \[ \boxed{\left( \frac{3}{2}, 2 \right)} \]