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Graphing Parabolas: Finding X-Intercepts, Vertex, and Symmetrical Points

Discover how to graph parabolas effectively, even if you can't find the x-intercepts. Start by locating the vertex of the parabola and exploring its x-coordinate. Use this to identify symmetrical points that are equidistant from the vertex. For example, if the vertex is at (2, 2), choosing points like (0, y) and (4, y) can help you plot the graph accurately. By calculating the y-coordinate for one of the symmetrical points, you can replicate it for the other, ensuring a precise representation on your graph.

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Graphing Parabolas: Finding X-Intercepts, Vertex, and Symmetrical Points

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  1. More about graphing parabolas

  2. What if I can’t find the x-intercepts? • Find the vertex • Find symmetrical points • Look at the x coordinate of the vertex • Pick two points that area equally distant from it (example: vertex is (2, 2) – you could pick 0 and 4) • Plug in one of the symmetrical points. This is the y coordinate for both symmetrical points. • graph.

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