How to Graph Equations on a TI 84 Calculator (With Examples)

One of the most powerful features of the TI 84 calculator is its ability to graph equations. Whether you’re solving algebraic functions, analyzing graphs in calculus, or checking your homework, knowing how to graph on a TI 84 calculator will save time and help you visualize problems.

This guide will teach you how to graph equations on a TI 84 calculator with step-by-step instructions and real examples. It also covers troubleshooting tips and common graphing mistakes.

Step 1: Turn On the TI 84 Calculator

Press the ON button located at the bottom left of your calculator.

If the screen is blank or dim, adjust the contrast by pressing 2nd + UP arrow to increase brightness.

Step 2: Access the Graph Function

Press the Y= button at the top row. This opens the function editor, where you can enter up to 10 different equations (Y1 to Y0).

Step 3: Enter an Equation

Let’s enter your first equation. For example:

Example 1: Graph a Linear Equation

Y1 = 2x + 3

How to enter it:

1. Press X,T,θ,n to enter the variable x
2. Press × 2 then + 3
3. Your screen should display: Y1 = 2X + 3

Now press GRAPH to view it.

Step 4: Adjust the Graph Window (If Needed)

If you don’t see your graph, press ZOOM then choose:

• 6: ZStandard → Standard window (x: -10 to 10, y: -10 to 10)
• 0: ZoomFit → Automatically fits your equation into view

Or adjust manually:

1. Press WINDOW
2. Set:
   • Xmin = -10
   • Xmax = 10
   • Ymin = -10
   • Ymax = 10
   • Xscl = 1
   • Yscl = 1
3. Press GRAPH again

Example 2: Graph a Quadratic Equation

Y1 = x² – 4x + 3

1. Press CLEAR to erase the previous equation
2. Enter: X,T,θ,n → ^ → 2 → – 4 → X,T,θ,n → + 3
3. Your input should read: Y1 = X^2 - 4X + 3
4. Press GRAPH

This will display a parabola opening upward.

Example 3: Graph an Absolute Value Function

Y1 = |x – 2|

1. Press MATH
2. Use the right arrow to go to the NUM tab
3. Choose 1: abs(
4. Enter: abs(X,T,θ,n – 2)
5. Press ENTER then GRAPH

You’ll see a V-shaped graph.

Example 4: Graph a Trigonometric Function

Y1 = sin(x)

1. Make sure the calculator is in Radian mode:
   • Press MODE
   • Highlight Radian and press ENTER
2. Press Y=
3. Enter: sin( → X,T,θ,n → )
4. Press GRAPH

Tip: Set your WINDOW:

• Xmin = –2π
• Xmax = 2π
• Xscl = π/2
• Ymin = –2
• Ymax = 2

Step 5: Use Trace or Table to Explore Points

After graphing:

• Press TRACE to move along the curve and see the X and Y values
• Press 2nd + GRAPH to open the table view and explore multiple values

Step 6: Graph Multiple Equations at OnceYou can compare graphs easily by entering multiple equations in the Y= screen:

Example:

Y1 = x^2  
Y2 = x + 2

Each line will appear in a different style or color (if using a TI 84 Plus CE).

Troubleshooting Tips

My graph doesn’t show up?

• Use ZOOM > 6:ZStandard to reset view
• Check for typos in your equation
• Make sure the equation is turned ON (highlight = and press ENTER if it’s not bold)

Graph is too steep or flat?

• Adjust Ymin and Ymax in the WINDOW settings
• Try ZOOM > 0:ZoomFit for automatic scaling

Final Tips for Graphing on a TI 84 Calculator

• Use TRACE for coordinate analysis
• Use WINDOW for custom zoom settings
• Use 2nd + TABLE for a list of values
• Save time with ZOOM presets like ZStandard, ZFit, and ZTrig

Conclusion

Now you know how to graph equations on a TI 84 calculator with real examples. Whether you’re graphing a line, a quadratic, or a trigonometric function, this step-by-step method works for all levels of math. Keep practicing, and you’ll master the TI 84 graphing feature in no time.