Ti Graphing Calculator

by
TI Graphing Calculator Online
Quadratic Formula (ax² + bx + c = 0)Descriptive Statistics (List of Numbers)Slope & Linear Equation (2 Points)
Calculation Output:
Enter values and click Calculate.
function toggleInputs(){var type=document.getElementById('calc_type').value;document.getElementById('quadInputs').style.display=(type==='quadratic')?'table':'none';document.getElementById('statInputs').style.display=(type==='stats')?'block':'none';document.getElementById('slopeInputs').style.display=(type==='slope')?'table':'none';}function calculateTI(){var type=document.getElementById('calc_type').value;var showSteps=document.getElementById('steps').checked;var ans=document.getElementById('answer');ans.innerHTML=";if(type==='quadratic'){var a=parseFloat(document.getElementById('quad_a').value);var b=parseFloat(document.getElementById('quad_b').value);var c=parseFloat(document.getElementById('quad_c').value);if(isNaN(a)||isNaN(b)||isNaN(c)){ans.innerHTML='Error: Please enter coefficients a, b, and c.';return;}if(a===0){ans.innerHTML='Error: "a" cannot be 0 in a quadratic equation.';return;}var disc=(b*b)-(4*a*c);var stepStr=";if(showSteps){stepStr='
Step 1: Calculate Discriminant: D = b² – 4ac
D = ('+b+')² – 4('+a+')('+c+') = '+disc+'
';}if(disc<0){ans.innerHTML=stepStr+'No Real Roots (Discriminant is negative: '+disc+')';}else if(disc===0){var x=-b/(2*a);ans.innerHTML=stepStr+'One Real Root: x = '+x.toFixed(4);}else{var x1=(-b+Math.sqrt(disc))/(2*a);var x2=(-b-Math.sqrt(disc))/(2*a);ans.innerHTML=stepStr+'Two Real Roots:
x₁ = '+x1.toFixed(4)+'
x₂ = '+x2.toFixed(4);}}else if(type==='stats'){var str=document.getElementById('data_list').value;var arr=str.split(',').map(function(item){return parseFloat(item.trim());}).filter(function(item){return !isNaN(item);});if(arr.length===0){ans.innerHTML='Error: Please enter a list of numbers.';return;}var sum=0;for(var i=0;i<arr.length;i++){sum+=arr[i];}var mean=sum/arr.length;var sqDiff=0;for(var j=0;j<arr.length;j++){sqDiff+=Math.pow(arr[j]-mean,2);}var sd=Math.sqrt(sqDiff/arr.length);var sampleSD=Math.sqrt(sqDiff/(arr.length-1));ans.innerHTML='Statistics Results:
Count (n): '+arr.length+'
Mean (x̄): '+mean.toFixed(4)+'
Population SD (σx): '+sd.toFixed(4)+'
Sample SD (sx): '+(arr.length>1?sampleSD.toFixed(4):'N/A');}else if(type==='slope'){var x1=parseFloat(document.getElementById('x1').value);var y1=parseFloat(document.getElementById('y1').value);var x2=parseFloat(document.getElementById('x2').value);var y2=parseFloat(document.getElementById('y2′).value);if(isNaN(x1)||isNaN(y1)||isNaN(x2)||isNaN(y2)){ans.innerHTML='Error: Enter coordinates for both points.';return;}if(x1===x2){ans.innerHTML='Vertical Line: Slope is undefined. Equation: x = '+x1;}else{var m=(y2-y1)/(x2-x1);var bVal=y1-(m*x1);ans.innerHTML='Linear Results:
Slope (m): '+m.toFixed(4)+'
y-intercept (b): '+bVal.toFixed(4)+'
Equation: y = '+m.toFixed(2)+'x + '+bVal.toFixed(2);}}}

TI Graphing Calculator Use

A ti graphing calculator is an essential tool for students in algebra, trigonometry, and calculus. Devices like the TI-84 Plus and TI-89 allow for complex plotting, statistical analysis, and equation solving. This online version emulates the three most frequently used functions of a physical ti graphing calculator: the Quadratic Formula solver, Descriptive Statistics calculations, and Linear Slope analysis.

Whether you are checking your homework or performing professional data analysis, you can get precise results instantly. Simply select your desired function and input your data points or coefficients.

Quadratic Solver
Find the roots (x-intercepts) of any parabola by entering the coefficients a, b, and c.
Descriptive Statistics
Enter a list of numbers to find the mean, population standard deviation, and sample standard deviation—just like using the "1-Var Stats" menu.
Slope & Linear Equations
Determine the slope (m) and y-intercept (b) between any two points on a Cartesian plane.

How It Works

The math behind the ti graphing calculator follows standard algebraic and statistical theorems. For quadratic equations, the calculator uses the Quadratic Formula:

x = [-b ± √(b² – 4ac)] / 2a

  • Discriminant (D): Calculated as b² – 4ac. If D < 0, roots are imaginary.
  • Mean (x̄): The sum of all observations divided by the number of observations (Σx / n).
  • Standard Deviation: Measures data dispersion. The sample SD uses n-1 in the denominator for an unbiased estimate of population variance.

Calculation Example

Example: Solve the quadratic equation 2x² + 5x – 3 = 0 using the ti graphing calculator method.

Step-by-step solution:

  1. Identify coefficients: a = 2, b = 5, c = -3.
  2. Calculate the discriminant: D = (5)² – 4(2)(-3) = 25 + 24 = 49.
  3. Apply the formula: x = [-5 ± √49] / (2 * 2).
  4. Solve for x₁: (-5 + 7) / 4 = 0.5.
  5. Solve for x₂: (-5 – 7) / 4 = -3.
  6. Result: Roots are 0.5 and -3.

Common Questions

What is the difference between a TI-84 and TI-89?

The TI-84 Plus is a standard graphing calculator used for general algebra. The TI-89 features a Computer Algebra System (CAS), which allows it to perform symbolic manipulation, like solving for x in an equation without numerical values.

How do I enter a list for statistics?

On a physical ti graphing calculator, you press [STAT] then [EDIT]. In this online version, simply type your numbers into the text box separated by commas (e.g., 5, 10, 15).

Why does the calculator say "No Real Roots"?

This occurs when the discriminant (b² – 4ac) is negative. In this case, the parabola does not cross the x-axis, and the solutions are complex/imaginary numbers.

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