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How to Graph on TI 84 Plus CE Calculator

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How to Graph on TI 84 Plus CE Calculator

Graphing on the TI 84 calculator is not just plotting lines but you have to unlock the real power of your calculator. Whether you are working on a simple linear function, exploring quadratic curves or comparing multiple graphs on the screen, TI 84 Calculator is quick and visual. 

In this guide we will learn how to make graphs on TI 84 Plus CE Calculator, find the values, minimum, maximum, lines of Intersection, and how to change the axis. We have added tutorial video, real images with step by step guidelines.

Table of Contents

Producing a Graph on the TI-84 Plus CE

How to plot a graph on TI 84 Calculator? You can add up to 10 equations at a time to produce their graph on the screen. Every equation will have a different color so that you can discriminate between the lines of the graph. With the following steps you can learn about how to produce a graph on TI 84 Plus CE. We will take some examples as well so that you can easily understand every step.

  1. Click on the “Graph” button. You can see a blank graph key.
    How to plot a graph on TI 84 Calculator
  2. We need to write an equation to see its graph. Press the “y=” button and it shows you options to write equations.
    How to plot a graph on TI 84 Calculator

Let’s plot the graph of 2X+1:

  1. Press the “2” key,  “X,T,θ,n” key to add X, “+”, and 1
    How to plot a graph on TI 84 Calculator
  2. Press “graph” button and it will show you the graph of the equation: Y1=2X+1
    How to plot a graph on TI 84 Calculator

Let’s add a quadric equation with it: X2 + X – 3

  1. Press the “y=” key
    How to plot a graph on TI 84 Calculator
  2. Scroll down to second row where you can see: Y2=
    How to plot a graph on TI 84 Calculator
  3. Press the “X,T,θ,n” key to add X, “X2” key, “+” key, “X,T,θ,n” key to add X, “-” key, and “3” keyHow to plot a graph on TI 84 Calculator
  4. Press “Graph” button and it will show you the graph of both equations:
    Y1=2X+1 and Y2=X2 + X – 3

    How to plot a graph on TI 84 Calculator

So we have two graphs on one screen with nice colors and graphics. We can do multiple things here with these two graphs including finding the values, coordinates at the particular x position, finding where it cuts x-axis or y-axis called the zeroes, finding the minimum and maximum of the graph, finding the Grass intersect, finding the derivatives, and integrals as well.

Find Values (2nd Trace) on the TI-84 Plus CE

With the following steps, you will be able to find the values of the graphs on the TI 84 Calculator:

  1. Press “2nd” key then “trace” Key. It shows 7 different options here to choose that you want to perform. These options are: 1: value, 2: zero, 3: minimum, 4: maximum, 5: intersect, 6: dy/dx, 7: ∫f(x)dx.
    Find the values of the graphs on the TI 84 Calculator
  2. Press “1” to choose “value” and it allows you to write the value of x.
    Find the values of the graphs on the TI 84 Calculator
  3. You can input any digit and it will give you coordinates at that value. Let’s add 0.
    Find the values of the graphs on the TI 84 Calculator
  4. You can press the down arrow key to find the corresponding value of the other graphs.
  5. By using left and right arrow keys, you can check different coordinates at different values of x. You are actually moving along the graph using these arrows.
    But there is another way to check the graphs at different values of x in the table format. For this, you have to press the “2nd” key then the “graph” key.

    Find the values of the graphs on the TI 84 Calculator
    We can use the Up and Down arrow keys to see the table at more values of x. By default, you can move up and down by 1 number. If the input value of x is 0, you can move up by pressing the Up key and it will be -1, -2, -3, -4 and so on.
    Find the values of the graphs on the TI 84 Calculator
     Similarly, to move down, you have to press the Down key and it will be 1, 2, 3, 4 and so on.
    Find the values of the graphs on the TI 84 Calculator
    You can change these up and down values. For example, if you want that if you press the Up key, the increment will be 2 values and shows like -2, -4, -6 and so on, you can set this according to your choice. For this, you have to press “2nd” then the “window” key. It will open some settings. Move to Tbl = 1, and change it according to your choice.
    Find the values of the graphs on the TI 84 Calculator

Finding the Zero on the TI-84 Plus CE

With the following steps, you will be able to find the zero of the graphs on the TI 84 Calculator:

  1. Press “2nd” key then “trace” Key. It shows 7 different options here to choose that you want to perform. These options are: 1: value, 2: zero, 3: minimum, 4: maximum, 5: intersect, 6: dy/dx, 7: ∫f(x)dx.
    Finding the Zero on the TI-84 Plus CE
  2. Press “2” to choose the “zero” option.
    By moving the Up and Down arrow keys, you can select the graph to work on.
    Let’s assume we have to find the zeroes of the quadratic equation: X2 + X – 3.
    Finding the Zero on the TI-84 Plus CE
  3. You have to choose the boundaries (Left Bound and Right Bound) around the point of zero. At the bottom, it shows “Left Bound?” means you have to choose the “left bound” first. By using the left and right arrow keys, you have to take the pointer to the left side of the zero and press “enter”. It shows a vertical line at this point.
    Finding the Zero on the TI-84 Plus CE
  4. It shows “Right Bound?”. By using the left and right arrow keys, you have to take the pointer to the right side of the zero and press “enter”. It shows a vertical line at this point.
    Finding the Zero on the TI-84 Plus CE
  5. Now just simply press “enter” again and it will show you the value of zero.
    Finding the Zero on the TI-84 Plus CE
    If you choose the “Left Bound?” and “Right Bound?” not around the zero, it will show a message that:
    ERROR: NO SIGN CHANGE
    Calculations are not detecting a sign change to give an estimated result for the allowed number of iterations.
    Finding the Zero on the TI-84 Plus CEFinding the Zero on the TI-84 Plus CE
    You can go back to the home screen by pressing “2nd” key then “mode” keys. There is an amazing function of TI 84 Calculator about storing your result. The value of zero is saved in the X, even after existing from the graphing mode. Moreover, you can save values in the variables to use it with more options. You can store this value by pressing the “sto→” key and then use any variable. It is a very helpful feature to use the values again if it is not a simple and short digit number.
    Finding the Zero on the TI-84 Plus CE

Finding the Minimum and Maximum on the TI-84 Plus CE

The process of finding the minimum and maximum of the graphs is the same as finding the zero of the graph. With the following steps, you will be able to find the minimum or maximum of the graphs on the TI 84 Calculator:

  1. Press “2nd” key then “trace” Key. It shows 7 different options here to choose that you want to perform. These options are: 1: value, 2: zero, 3: minimum, 4: maximum, 5: intersect, 6: dy/dx, 7: ∫f(x)dx.
    Finding the Minimum and Maximum on the TI-84 Plus CE
  2. Press “3” or “4” key to choose the “minimum” or maximum option. By moving the Up and Down arrow keys, you can select the graph to work on. Let’s assume we have to find the zeroes of the quadratic equation: X2 + X – 3.
  3. You have to choose the boundaries (Left Bound and Right Bound). At the bottom, it shows “Left Bound?” means you have to choose the “left bound” first. By using the left and right arrow keys, you have to take the pointer anywhere and press “enter”. It shows a vertical line at this point.
  4. It shows “Right Bound?”. By using the left and right arrow keys, you have to take the pointer to the right side anywhere and press “enter”. It shows a vertical line at this point.
  5. Now just simply press “enter” again and it will show you the minimum or maximum whatever you choose.
    Finding the Minimum and Maximum on the TI-84 Plus CEFinding the Minimum and Maximum on the TI-84 Plus CE

Finding the Lines of Intersection of Graphs on the TI-84 Plus CE

With the following steps, you can easily find the lines of intersection of graphs using the TI 84 calculator:

  1. Press “2nd” key then “trace” Key. It shows 7 different options here to choose that you want to perform. These options are: 1: value, 2: zero, 3: minimum, 4: maximum, 5: intersect, 6: dy/dx, 7: ∫f(x)dx.
  2. Press “5” to choose the “intersect” option.
  3. You just have to press the “enter” key to select the graph for intersection. As you can see in the following image there are two graphs on the screen.
  4. When you press enter, a linear line is selected and the pointer starts appearing on the second graph. Enter press again to select the second graph of the quadratic equation as well.
  5. Now you have to move the pointer close to the point of intersection for which you want to find the value and press the “enter” key.
  6. If there are more than one point of intersection, then on pressing “enter”, it will show you the value of that intersection, on which pointer is close.
    Finding the Lines of Intersection of a Graph on the TI-84 Plus CEFinding the Lines of Intersection of a Graph on the TI-84 Plus CE

Changing the Maximum and Minimum Values of a Graph on the TI-84 Plus CE

By default, the axis of the graphs are from -10 to 10. We can change it in two ways.

You can press the “window” key and it shows the options to change the Xmin, Xmax, Ymin, and Ymax. 
Changing the Maximum and Minimum Values of a Graph on the TI-84 Plus CE
Let’s change the Ymin from -10 to 0 and click on the “graph”. It shows you the x-axis from -10 to 10 and y-axis from 0 to 10.
Changing the Maximum and Minimum Values of a Graph on the TI-84 Plus CEChanging the Maximum and Minimum Values of a Graph on the TI-84 Plus CE
Another option is to press the “zoom” key. You can see some options here: 1: ZBox, 2: Zoom In, 3: Zoom Out, 4: ZDecimal, 5: ZSquare, 6: ZStandard, 7: ZTrig, 8: ZInteger, 9: ZoomStat and so on.
Changing the Maximum and Minimum Values of a Graph on the TI-84 Plus CE

If you press 6 to choose this option, it will set the axis back to the default mode. We also have many useful options to change the maximum and minimum values here. 

5: ZSquare is very useful if you want to draw a circle.

Video Tutorial

It is an official video by the TI Instrument youtube channel.

Frequently Asked Questions (F.A.Q)

How do you graph an equation on a TI-84 Plus CE?

It is very easy to plot graphs of equations on TI 84 calculator. Press the “Y=” key to write your equation and then press the “graph” key. You can add up to 10 equations at a time.

If your calculator is not making graph, check that the equation should be entered in the Y= menu option. Also confirm that the axis setting is correctly configured. You can go back to default setting by pressing “zoom” key then ZStandard option.

  1. Press “2nd” key
  2. Press “trace” key
  3. Choose zero
  4. Select the left and right boundaries around the zero point and press the “enter” key.

Yes, Press “2nd” key, “trace” key, and then maximum, minimum or intersection option from this screen.

Press the “window” key to adjust the Xmin, Xmax, Ymin, and Ymax manually. Another way is to press “Zoom” and it shows more options to change the graphing window. You can press ZStandard to reset the graph to default -10 to 10 axis

References:

These screenshots are taken from the TI 84 Plus CE Official Manual. This manual is released officially by TI instruments.

How to graph on TI 84 Plus CE Calculator - Reference 01
How to graph on TI 84 Plus CE Calculator Reference 02
How to graph on TI 84 Plus CE Calculator Reference 03

Final Words

As you know TI 84 Plus CE is more than just a calculator. It is a powerful graphing tool that helps you to explore and understand mathematics visually. In this guide we see the advanced functionalities of the TI 84 calculator related to graphing problems. 

In this guide, you will be able to plot graphs on TI 84 calculator and perform different operations and solve problems simultaneously. You can easily find the values, zeroes, maximum, minimum, points of interaction of the graphs. Moreover, you can also easily change the axis of the graphs.

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James Cooper
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My name is James Cooper, the author of https://graphingti84calculator.com/. I am a high school math teacher with over 15 years of experience. I also taught the engineering students. I specialized in Algebra, Trigonometry, Calculus, and standardized test preparation. In the United States, I have spent my career in teaching math and engineering students especially with the TI-84 calculator.

I have a passion to make the tough math concepts very easy to understand for my students. I have created this website to guide the students, teachers and other math learners about the TI-84 Calculator. From graphing equations to solving the linear system, I have worked and brought this website for you. With my blogs, guidelines and tutorials, you will be a master in mathematics.

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