Describe the graph of a quadratic function

So, given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value. To put it in complicated terms. Or when A is positive the graph is shaped like a U but if A is negative the graph is an upside down U

Graphs: Hope this helps

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero.

The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape. 

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Graphs of quadratic functions have a unique symmetrical nature with a maximum or minimum function value corresponding to the vertex.
´When the leading coefficient of the quadratic expression representing the function is negative the graph opens down and when positive it opens up.