MATH 201 Lecture Notes - Lecture 4: Polynomial, Quadratic Equation, Completing The Square
26 Oct 2017
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De nition: a quadratic function is a function of the form ax2 + bx + c where a is not. Important: the a value tells the shape of the parabola (vertex or convex) If a > 0 > the graph goes up. If a < 0 > the graph goes down. A vertex: it is the point where the parabola changes direction. An axis of symmetry: the vertical line that passes through the vertex. But if they have, they are also called the zeros of the function: how to nd the di erent elements of the quadratic function: The zeroes: use the quadratic formula (b2 -4ac > etc) so we can nd the f(x) = 0. Every quadratic function can be expressed in the vertex form: a(x - h)2 + k. (h ; k) correspond to the point of the vertex. A tells us the shape of the parabola: a > 0 > convex a < 0 > concave.
