Find the equation y = ax^2 + bx + c of the parabola that passes through the points. To verify your result, use a graphing utility to plot the points and graph the parabola.

Question

Find the equation y = ax² + bx + c

 of the parabola that passes through the points. To verify your result, use a graphing utility to plot the points and graph the parabola.

(1, 4), (2, 2), (3, −6)

Answer 1

Substitute the given values for each of the functions.

You have a system of thre equations in three variables.

Solve by any method presented in Algebra 2.