Warm Up 12/03/2024 Key Features of Quadratics

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What is the domain of a quadratic function?

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The domain of a quadratic function is all real numbers, typically expressed as (-∞, ∞). However, in specific contexts, it may be restricted, such as 0 ≤ t ≤ 4.5.

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What is the range of a quadratic function?

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The range of a quadratic function is determined by its vertex and direction of opening. For example, if the vertex is at (0, 0) and opens upwards, the range is [0, ∞).

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Define increasing interval in the context of quadratics.

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The increasing interval of a quadratic function is the range of x-values where the function's output (y-value) is rising. For example, if a quadratic opens upwards, it increases after its vertex.

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Define decreasing interval in the context of quadratics.

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The decreasing interval of a quadratic function is the range of x-values where the function's output (y-value) is falling. For example, if a quadratic opens upwards, it decreases before its vertex.

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What is the vertex of a quadratic function?

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The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. It can be found using the formula x = -b/(2a) for a function in the form ax^2 + bx + c.

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How do you find the x-intercepts of a quadratic function?

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To find the x-intercepts of a quadratic function, set the function equal to zero and solve for x using factoring, completing the square, or the quadratic formula.

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What is the quadratic formula?

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What does the discriminant of a quadratic equation indicate?

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What is the standard form of a quadratic function?

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What is the vertex form of a quadratic function?

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