SAT Questions using Desmos

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What is Desmos?

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Desmos is an advanced graphing calculator implemented as a web application. It allows users to plot functions, create tables, and visualize data.

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How can Desmos be used in SAT questions?

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Desmos can be used to graph equations, analyze functions, and solve problems involving algebra and geometry, making it a valuable tool for visualizing mathematical concepts.

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What is a function in mathematics?

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A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

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What does it mean for a function to be linear?

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A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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What is the slope of a line?

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The slope of a line measures its steepness and direction. It is calculated as the change in y divided by the change in x (rise/run).

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What is the y-intercept?

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The y-intercept is the point where a line crosses the y-axis. It is the value of y when x = 0.

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What is a quadratic function?

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A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

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What is the vertex of a parabola?

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The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

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How do you find the roots of a quadratic equation?

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The roots of a quadratic equation can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. Solutions are the points where the equations intersect.