feed-o-math

Knowing how to sketch straight lines is very important if belong Mathematics and Science. How to sketch straight lines? The standard equation of a straight line is ax + by + c = 0 There are basic 5 forms of line's equation. In order to understand all the five we must know some of the basic terms we will be frequently using- Slope of a line: Slope of a line defines the tangent(tan of trigonometry) of the angle at which the line is inclined with the +ve x axis.      Above mentioned are three ways to find the slope of a line. slope is generally represented by m.                                                                                             Y-intercept:  The intercept cut by the line wit...

After reading the title a question must have arose to your mind that , "does adding or subtraction a constant to a function different than that for x ?". The answer is YES. Let's begin. As always lets start with an example say y = x^2 and change this to y = (x+2)^2. Now what does this addition of 2 in x make change to the function. Let's Examine. x = 0, y = 0 (original) x = 0, y = (0+2)^2 = 2^2 = 4 (modified) Lets take another example- x = 4, y = 16 (original) x=4 , y = (4+2)^2 = 6^2 =36 (modified) it means modified function should shift 2 unit left on x axis. lets see the graphs and make it clear. the original function shifts left to number of units added to x along x-axis. Now let's take an example if 2 is subtracted to from the original function. Taking the same example y = x^2 and y = (x-2)^2 Let's Examine. x = 0, y = 0 (original) x = 0, y = (0-2)^2 = (-2)^2 = 4 (modified) Lets take another example- x = 4, y = 16 (original) x=4 , y = (4-2)^2 = 2^2 = 4 (mod...

Hope you all have gone through the basic graphs. In this post we will modify those graphs. Let's begin............ Let's take a graph say y = x^2. Now if we add 2 in it which means if we change the function to y = x^2 + 2 Then, the resultant graph looks like the second graph.                                actually what happened is the original graph adds 2 to its each value. For example it was giving y=4 at x=2 But now it gives y=4+2=6 at x=2 Similarly if we would have taken y = x^2 -2 Then the graph would have decreased 2 from each value of y.. Example- for x=2 it gave y=4 originally but now for x= 2 it will give y= 4-2=2. The resultant graph will look like-                                   Similarly some other examples where constants are added or subtracted in a particular function are as follows- (where k>0 and k be...