Exploring Parabolas: Equations, Graphs, and Applications

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Discover the equations and graphs of parabolas with different characteristics such as vertex and focus locations. Learn how to find equations, graph them, and analyze their properties in real-world applications. Dive into the world of parabolas and enhance your understanding of their unique features and uses.

  • Parabolas
  • Equations
  • Graphs
  • Applications
  • Characteristics

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  1. Section 10.2 The Parabola

  2. Find an equation of the parabola with vertex at (0, 0) and focus at (3, 0). Graph the equation. Figure 5

  3. Figure 6

  4. Figure 8

  5. Find the equation of the parabola with focus at (0, 4) and directrix the line y = 4. Graph the equation. Figure 9

  6. Figure 10

  7. Find an equation of the parabola with vertex at (2, 3) and focus at (0, 3). Graph the equation. Figure 12

  8. Figure 13

  9. The receiver should be located 1 foot 4 inches from the base of the dish, along its axis of symmetry.

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