Step 1 Solve for the vertex of the parabola The vertex of a parabola of the form {eq}y= x^2 bx c {/eq} is always given by {eq}\left (\dfrac {b} {2a},f (\dfrac {b} {2a})\right) {/eq} StepParabola Calculator This calculator will find either the equation of the parabola from the given parameters or the axis of symmetry, eccentricity, latus rectum, length of the latus rectum, focus, vertex, directrix, focal parameter, xintercepts, yintercepts of the entered parabola To graph a parabola, visit the parabola grapher (choose theKey Takeaways The graph of any quadratic equation y = a x 2 b x c, where a, b, and c are real numbers and a ≠ 0, is called a parabola; Understand How The Graph Of A Parabola Is Related To Its Quadratic Function College Algebra Graph parabola y=(x+2)^2+5