There are different values of y, which are as follows: Let y be a linear function given by y = a x + c y = ax + c y = a x + c, the vertical shift here can be seen by changing the value of c for different values of c. Let’s take an example of a linear function to illustrate the vertical shift.
The transformation results in moving the function up and down y y y–axis without having any change in the value of x x x.
It is also called as shift along y y y–axis. Now let’s talk about the vertical shift, it is a transformation that shifts the graph of function along the y y y–axis of the graph. As the graph shifts horizontally, this shift is called the horizontal shift.įig: red color represents, y = 2 x + 5 y=2x+5 y = 2 x + 5 blue color represents y = 2 ( x + 1 ) + 5 y=2(x+1)+5 y = 2 ( x + 1 ) + 5 and green color represents y = 2 ( x + 2 ) + 5 y=2(x+2)+5 y = 2 ( x + 2 ) + 5 The value of y y y is not changed just the graph of the function moves left by 1 unit each time. When these points are plotted on the graph, the only change in the graphs of the function is that these points have different x x x – intercept. There are different values of y y y such as Let y be a linear function given by y = a x + c y = ax + c y = a x + c, the horizontal shift here can be seen by changing the value of x x x. Let’s take an example to illustrate the horizontal shift
The transformation results in moving the graph along the left and right of x x x -axis. A horizontal shift is also called as shift along x x x –axis. The transformation changes the graph along x-axis. When there is talk about horizontal shift, there is no change in the value of y rather there is change in the value of x x x.