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The three different ways to represent a quadratic function are: standard form, factored form and vertex form.

Here is a visual to help organize the information you have learned in this module.

Image shows two parabolas. The parabola on the left is labeled as f of x. It opens downward, and crosses the x axis at zeros m and n. The parabola on the right is labeled g of x. It opens up, and has a vertex h comma k.The general factored form of a quadratic function is f of x equals a times the quantity of x plus m times the quantity of x plus n. The general vertex form of a quadratic function is g of x equals a times the quantity x minus h squared plus k.