Answer:
(y + 10)² = 72(x + 1)
Step-by-step explanation:
If we assume the vertex of the parabola is (α,β) and the axis is parallel to the positive x-axis, then its equation is given by
(y - β)² = 4a(x - α) ........... (1)
Now, the vertex is (-1,-10).
So, the equation will become (y + 10)² = 4a(x + 1) .......... (2)
Now, (1,2) is a point on the parabola.
So, equation (2) becomes (2 + 10)² = 4a(1 + 1)
⇒ 144 = 8a
⇒ 4a = 72
Therefore, the final equation of the parabola in vertex form will be
(y + 10)² = 72(x + 1) (Answer)
