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Graphing Quadratics in Standard Form: Step-by-Step Guide

Learn how to graph quadratic equations in standard form, ax² + bx + c. This guide explains the process of finding the vertex, calculating the x-coordinate, and using this value to determine the corresponding y-coordinate. You'll discover how to graph the vertex and utilize the 'a' value as the slope to create the parabolic curve. For example, we'll graph y = 2x² - 8x + 6, starting at x = 2 and finding values on either side. Master the techniques for visualizing quadratic functions with ease!

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Graphing Quadratics in Standard Form: Step-by-Step Guide

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  1. Graphing quadratics in standard form

  2. Standard Form ax2 + bx + c • To graph: • Find the vertex • The x-coordinate of the vertex is at • Plug this x value into equation to find y • Graph the vertex • Use a as the slope to move from vertex

  3. Example 1: Graph y=2x2-8x+6 • Start table at x=2 and find values on either side • Vertex: use b=-8 and a=2 x=2

  4. y=-x2+2x+5

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