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In this article, we are going to learn how we can find the vertex of a quadratic function using various methods such as the vertex formula method, completing the square method, and the graphical method. As with any function, we can find the vertical intercepts of a quadratic by evaluating the function at an input of zero, and we can find the horizontal intercepts by solving for when the output will be zero. Plug the a and b values into the vertex formula to find the x value for the vertex, or the number you’d have to input into the equation to get the highest or lowest possible y.

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To do so, i use the leading coefficient of each function to determine whether the graph is opening up or down. Simplify the formula and solve for x. Here are the steps to find the vertex using this formula

Identify the values of a, b, and c from the quadratic equation