An engineer is designing a water fountain that starts 1 ft off of the edge of a 10 ft wide pool. The water from the fountain needs to project into the center of the pool. The path of the water from the fountain is in the shape of a parabola. Complete parts a through c below.
a. Let the point (1,0) be the location of the starting point of the water. Write a quadratic equation to model the path of the water. The non-stretched or compressed equation is y = ax² + bx + c. (Type an expression using x as the variable.)