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Figure 4. Graphing calculator computation of one of the two roots of the quadratic equation 2x 2 + 4x − 4 = 0. Although the display shows only five significant figures of accuracy, the retrieved value of xc is 0.732050807569, accurate to twelve significant figures. A quadratic function without real root: y = (x − 5) 2 + 9.
English: Graph of y = ax² + bx + c having real roots and positive a with key points labellled by CMG Lee. Roots and y-intercept are in red, turning point and axis of symmetry are in blue, and focus and directrix are in pink. Values are given in terms of the discriminant, b² - 4ac. The example shown has a = 1, b = -2 and c = -3.
The roots of the quadratic function y = 1 / 2 x 2 − 3x + 5 / 2 are the places where the graph intersects the x-axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.
In it, geometrical shapes can be made, as well as expressions from the normal graphing calculator, with extra features. [8] In September 2023, Desmos released a beta for a 3D calculator, which added features on top of the 2D calculator, including cross products, partial derivatives and double-variable parametric equations. [9]
The graph of a real single-variable quadratic function is a parabola. If a quadratic function is equated with zero, then the result is a quadratic equation . The solutions of a quadratic equation are the zeros (or roots ) of the corresponding quadratic function, of which there can be two, one, or zero.
Texas Instruments TI-84 Plus, the most successful graphing calculator in terms of sales. A graphing calculator (also graphics calculator or graphic display calculator) is a handheld computer that is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables.
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This model incorporates the multi-line dot matrix display already used in the TI-30 and 34 MultiView series calculators. This display allows the calculator to perform numeric derivatives and integrals in a way similar to the much more advanced TI-83 series graphing calculators. Maximum expression length is reduced to 80 characters.
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