Answer:
y = - 2(x - 2)² + 1
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, 1), thus
y = a(x - 2)² + 1
To find a substitute (1, - 1) into the equation
- 1 = a(1 - 2)² + 1 ( subtract 1 from both sides )
- 2 = a
y = - 2(x - 1)² + 1 ← in vertex form
