We start with the given second derivative of y, and work backwards.
Find an antiderivative of y'' to obtain the first derivative of y.
Find an antiderivative of y' to obtain y.
This equation has two unknowns for which we need to solve. We've been given the coordinates of two points which lie on the graph of y.
Substitute these values for x and y to obtain a system of two equations.
Solving this system for the unknowns is simple algebra. Can you do it?