MATH 1108 Lecture Notes - Lecture 2: Break Even, Quadratic Function, Horse Length
20 Sep 2018
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If a, b and c are real numbers with a 6= 0, then the function f (x) = ax2 + bx + c (standard form) is called a quadratic function and its graph is a parabola. The x-intercepts of a quadratic function are also called a zeros of this function. In other words, zeros are the solutions of if. 710 and they can be calculated by ax2 + bx + c = 0 x = b pb2 4ac. 2a: b2 4ac 0, which comes from the domain restriction. Example: find the zeros of the quadratic functions: b. I solution c zero ) f (x) = x2 + 5x + 3. 2 f (x) = x2 + 8x + 16. Vertex form: the highest or lowest point on the parabola, whichever exists, is called the vertex. We use the method completing the square to transform the function into vertex form:
