Answer:
f(x) = - (x - 2)² + 2
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, 2 ), thus
y = a(x - 2)² + 2
To find a substitute the point (0, - 2) into the equation
- 2 = a(- 2)² + 2 ( subtract 2 from both sides )
- 4 = 4a ( divide both sides by 4 )
a = - 1
Thus
f(x) = - (x - 2)² + 2
