1, the translation law of linear function image is an important mathematical concept, which describes how the function image moves according to specific rules. This movement law can be vividly understood as "left plus right minus, up plus down minus". Let's say left plus right MINUS first. Suppose we have a linear function y=kx+b, where k is the slope of the y axis and b is the intercept of the y axis.
2. If we want to move this function image to the left by one unit, then the new function image will correspond to the Y coordinate of the original function plus a ... In other words, the new function is Y = K (X+A)+B. Compared with the original function y=kx+b, we find that the coefficient of X in the new function is the coefficient of X plus a in the original function.
3. Let's look at the increase or decrease. If we want to move the function image up by C units, then the new function image will correspond to the Y coordinate of the original function plus C. In other words, the new function is y = kx+b+C. Compared with the original function Y = KX+B, we find that the value of B in the new function will increase C.
Method of learning function
1. Understand the basic concepts of functions: To learn functions, you need to understand the basic concepts of functions, including their definition, representation, monotonicity and parity. Only by mastering these basic concepts can we understand them better.
2. Grasp the nature of function: the nature of function is one of the important contents of learning function. We should master the monotonicity, parity, periodicity and other properties of functions and understand the relationship between these properties. By mastering the nature of the function, we can better understand the image and changing law of the function.
3. Draw the image of the function: Learning the function requires learning to draw the image of the function. By drawing the image of the function, we can understand the nature and changing law of the function more intuitively. At the same time, we can also solve some function problems by observing images. Master basic elementary functions: Elementary functions are the basis of learning functions.
4. Learn to apply functions: The ultimate goal of learning functions is to apply functions to solve practical problems. To understand the application of functions in practical problems, such as using functions to solve geometric problems and using functions to solve economic problems. By applying functions, we can better understand the practical application value of functions.
5, do more exercises: learning functions requires more exercises, and consolidate what you have learned through practice. You can find some related exercise books or online exercises to do, and you need to check the answers carefully and correct your mistakes in time.
6. Summary and reflection: the learning function needs to be summarized and reflected frequently. Through summary and reflection, problems and deficiencies in learning can be found and need to be corrected in time. At the same time, it is also necessary to summarize some common methods and skills of functions in order to better solve some complex function problems.