1310-Notes-Sec-35-big-filled

# 1310-Notes-Sec-35-big-filled - Math 1310 Section 3.5...

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Math 1310 Class Notes – Section 3.5, Page 1 of 11 Math 1310 Section 3.5 Maximum and Minimum Values Next, we’ll look at a specific type of function, the quadratic function . A quadratic function is a function of the form 2 ( ) , f x ax bx c = + + where a, b and c are real numbers and 0 a . We can write a quadratic function in the form 2 ( ) ( ) f x a x h k = - + . This is called the standard or vertex form of the quadratic equation. The graph of a quadratic function is a parabola with vertex ( , ) h k . It will open either upward or downward. If it opens upward, it has a minimum value k . If it opens downward, it has a maximum value k . We can use the graph of the quadratic function to help us find the maximum or minimum value of the function. Our first task will be to change a given quadratic function from the form 2 ( ) , f x ax bx c = + + to standard form. We’ll complete the square to do this. Once the function is in standard form, we can sketch a graph using transformations and then read off the maximum or minimum value.

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Math 1310 Class Notes – Section 3.5, Page 2 of 11 Graphing quadratic functions
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## This note was uploaded on 02/22/2012 for the course MATH 1310 taught by Professor Marks during the Summer '08 term at University of Houston.

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1310-Notes-Sec-35-big-filled - Math 1310 Section 3.5...

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