Answer:
y = - (x + 2)² + 3
Step-by-step 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 and a is a multiplier
Here (h, k ) = (- 2, 3), thus
y = a(x + 2)² + 3
To find a substitute (0, - 1) into the equation
- 1 = a(0 + 2)² + 3 ( subtract 3 from both sides )
- 4 = 4a ( divide both sides by 4 )
a = - 1
y = - (x + 2)² + 3 ← equation in vertex form
