Question

For the parabola y² + 6y – 2x + 5 = 0

(i) the vertex is (– 2, – 3)

(ii) The directrix is y + 3 = 0

Which of the following is correct?

• A. Both (i) and (ii) are true
• B. (i) is true, (ii) is false
• C. (i) is false, (ii) is true
• D. Both (i) and (ii) are false

Answer 1

Answer: (B)

(i) is true, (ii) is false

Answer 2

y² + 6y + 9 = 2x – 5 + 9

̃ (y + 3)² = 2(x + 2)

̃ vertex A (– 2, – 3)

4a = 2 ̃ $a = \frac{1}{2}$