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!


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:


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.


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.

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