About TI 84 Calculator Free
How to Graph Equations Using a TI-84 Calculator Online
Graphing equations can feel difficult when you are learning algebra for the first time. A graphing calculator helps you connect a mathematical equation with its visual representation, making it easier to understand how functions behave.
In this guide, we will use the equation y = x² − 4 to demonstrate the basic graphing process, explain what the curve tells us, and show how to identify its x-intercepts.
Step 1: Understand the Equation
The equation y = x² − 4 represents a quadratic function. Its graph is a parabola that opens upward and reaches its lowest point at (0, −4).
Step 2: Enter the Function
Open your online TI-84 calculator and locate the Y= function-entry screen. Enter X² − 4, using the appropriate variable key and exponent key.
Step 3: Display the Graph
Press GRAPH to display the curve. If the graph is not visible, check the viewing window and use the appropriate zoom option.
Step 4: Find the X-Intercepts
The graph crosses the x-axis where y = 0.
Therefore:
x² − 4 = 0
x² = 4
x = −2 or x = 2
The x-intercepts are (−2, 0) and (2, 0).
What You Learned
You have connected an algebraic equation to its graph and identified the points where the curve crosses the x-axis. Try changing the constant from −4 to −9 and observe how the graph moves.