Answer:
Option A is correct.
Step-by-step explanation:
Given: Equation of Parabola, y = x² + 2x + 9
We have to find vertex of parabola.
We know that ( h , k ) is vertex of parabola in standard equation of parabola.
Standard equation of parabola, ( x - h )² = 4a (y - k )
First we rewrite the given equation into standard equation of parabola.
Consider,
y = x² + 2x + 9
using completing the square method, we get
Add 1² on both sides.
y + 1² = x² + 2x + 9 + 1²
y + 1 - 9 = x² + 2x + 1
y - 8 = ( x + 1 )²
( x + 1 )² = y - 8
Now, By comparing
we get, Vertex = ( -1 , 8 )
Therefore, Option A is correct.
