Answer:
Below in bold.
Step-by-step explanation:
The general vertex form for a parabola is:
y = a(x - b)^2 + c where a is a constant, and (b, c) is the vertex.
So here we have b = 1 and c = -2 giving:
y = a(x - 1)^2 - 2
When x = 3, y = 2 , therefore:
2 = a(3-1)^2 - 2
4a = 2+2 = 4
a = 1
So our equation is
y = (x - 1)^2 - 2.
In standard form:
y = x^2 - 2x + 1 - 2
y = x^2 -2x - 1.
