Answer:
y = 1/2x^2 - 2x - 1
Step-by-step explanation:
Vertex(2, - 3)
Equation of Parabola (In vertex form): y = a(x - h)^2 + k,
y = a(x - 2)^2 - 3
Substitute given point (0, -1) and solve for a:
y = a(x - 2)^2 - 3,
-1 = a(0 - 2)^2 - 3,
a = 1/2
Equation: y = 1/2(x - 2)^2 - 3 = 1/2(x^2 - 4x + 4) - 3 = 1/2x^2 - 2x + 2 - 3 = 1/2x^2 - 2x - 1,
y = 1/2x^2 - 2x - 1: Option C
