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Understanding Quadratic Functions: Graphs, Domains, Ranges, and Key Features

This guide covers essential concepts in quadratic functions, including their graphs in standard form (y = ax² + c) and how to find their domains and ranges. It explores examples such as y = -x² + 1, y = 2x² - 8x + 6, and y = 2x² + 4x - 3, demonstrating how to identify the vertex and axis of symmetry. Additionally, it discusses determining the minimum or maximum values of these functions, providing a comprehensive understanding for students and learners of algebra.

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Understanding Quadratic Functions: Graphs, Domains, Ranges, and Key Features

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  1. Warm Up • (4 – i)(2 + 3i) • (8 + 3i)(-2 – 8i) • (3 – i)(2 + 2i)(4 – 3i) • (6 + 8i) – (2 – 3i) + 4i • (2 – 5i) + (8 – 3i) – (7 + 8i)

  2. 3.1 (M2) Graph Quadratic Functions in Standard Form

  3. Graph y = ax² + c & Find domain and Range • y = -x² + 1

  4. Graph y = ax² + bx + c; find vertex & axis of symmetry • y = 2x² - 8x + 6

  5. Minimum or Maximum Value? • y = 2x² + 4x - 3

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