Drawing Graph
Posted By StudyGate
Graphing Functions: A How to Guide for Graph Calculator

Math brings out the artist in you!

While the industrious student can simply whip out a graph calculator to draw up graphing functions, figuring out functions the old-fashioned way can be pretty keen. With nothing but a pencil and a piece of paper divided into little squares, we can create lines and make ‘em dance to the curve of a slope intercept form. Oh yeah, remember that you can hire an online math tutor from Studygate!

We all knew math was a cute little number, but here is where we prove it!

Let’s take a simple equation:

y = mx + b

This is a pretty basic format for graphing. We have a Y axis that has a direct relationship with the X axis. The ratio between Y and X is determined by M.

Let’s throw in some numbers and see where they land:

y = 2x + 6

This is as easy as it gets. Let’s whip up a graph:

Learning to Draw Graph

Let’s start easy, with x = 0.

So we know that when X is at 0, Y is 6. The “2” is the ratio between X and Y. If X was 1, then simply multiply X x 2 + 6 = 8.

We can create a quick chart between X and Y. Don’t forget that we can go into negative values for X and Y s as well!

-4 -2
-3 0
-2 2
-1 4
0 6
1 8
2 10
3 12
4 14
5 16
6 18
7 20

Then, plot the points and connect to form a line!

graphing functions online learning

Pretty neat, huh?

****QUICK TIP: go back to the equation

We can break M down to represent the change over Y over the change over X. If it were a fraction, it would look like this: change over Y ÷ change over X

Since 2 is basically 2÷1, we can simply say that for every change in X, we move Y up 2 spaces! Look at the chart and do the math. See how it works?

What is M was a fraction?It still works out:

This means that for every X value we have, Y goes up by . The chart would look like:

-4 -1
-3 -.25
-2 .5
-1 1.25
0 2
1 2.75
2 3.5
3 4.25
4 5
5 5.75
6 6.5
7 7.25

graph calculator online learningGraphs with fraction M look less steep than graphs where M is a whole number.

 But where does this get us with graphing functions?

It’s really easy: it’s basically the same thing!

ƒ(x) = x2 + 2

In this case, Y = F(x). Since the equation is squared, there will be some curves as the Y intercept changes from positive to negative. But the procedure is the same.

So let’s throw some X values in and see what we get! You can also contact an online math tutor to complete this step.

-5 23
-4 18
-3 11
-2 6
-1 3
0 2
1 3
2 6
3 11
4 18
5 23

learning to draw graph in math

As you can see, we have a curve!

Imagine the possibilities: with numbers, you can draw anything!

For more math tips our guide to solving the quadratic formula will help.