Solving Quadratics by Completing the Square. Distributing and simplifying gives. Plug the result from step 2 into the original quadratic.
Just as a quadratic equation can map a parabola the parabolas points can help write a corresponding quadratic equation.
Multiply by some positive constant in this case 2. For each function identify the vertex domain range and axis. You cant go through algebra without seeing quadratic equations. Theres also a bunch of ways to solve these equations.