Answer:
B
Explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex ( turning point ) and a is a multiplier
here (h, k ) = (- 1, 2 ) , then
y = a(x - (- 1))² + 2, that is
y = a(x + 1)² + 2
to find a, substitute any other point that lies on the graph into the equation.
using the y - intercept (0, - 1 )
- 1 = a(0 + 1)² + 2 ( subtract 2 from both sides )
- 3 = a(1)² = a
Then
y = - 3(x + 1)² + 2 ← B