Given three noncollinear points, we can find an equation of the form x = ay² + by + c of the horizontal parabola joining them by solving a system of equations. Work Exercises in order, to find the equation of the horizontal parabola containing the points (-5, 1), (-14, -2), and (-10, 2).

Solve the system of three equations determined in Exercise 59.

 Exercise 59.

Write three equations in a, b, and c, by substituting the given values of x and y into the equation x = ay2 + by + c.