Final answer:
To find the equation of a parabola passing through given points, use the standard form of a parabola's equation, form a system of equations with the coordinates of the points, solve the system to find the values of a, b, and c, and write the equation of the parabola using these values.
Step-by-step explanation:
To find the equation of a parabola passing through the given points, we need to use the standard form of a parabola's equation, which is y = ax^2 + bx + c. Substitute the coordinates of each point into this equation to form a system of three equations. Solve this system to find the values of a, b, and c. Then, write the equation of the parabola using these values.