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Unformatted text preview: 2.4 - Graphing Quadratic Functions A quadratic function of x is of the form f ( x ) = ax 2 + bx + c where a , b , and c are real numbers and a 0. This equation is called the expanded form of the function, and its graph is called a parabola . x y axis of symmetry vertex x y axis of symmetry vertex x y axis of symmetry vertex x y axis of symmetry vertex opens up opens down ( a &amp;gt; 0) ( a &amp;lt; 0) A parabola has symmetry with respect to a vertical line called the axis of symmetry . The point where the parabola reaches an absolute maximum or minimum value is called the vertex . When we say that a parabola is symmetric , we mean that it is easy to visualize pairs of points along the parabola that are equidistant from the axis of symmetry. The figure below illustrates the symmetry of a parabola. x y axis of symmetry x y axis of symmetry x y axis of symmetry x y axis of symmetry When the quadratic function is given in its expanded form we can find the vertex using the following formula....
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