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2-36.

Find the vertex of each of the following parabolas by averaging the x-intercepts. Then write each equation in graphing form. Homework Help ✎

  1. What are the x-intercepts of this equation? After finding them, average the x-coordinates to find the x-value, and then substitute this value into the equation to find the corresponding y-value.

    x-intercepts: (3, 0) and (11, 0)
    vertex: (7, –16)

    equation:

  2. Refer to part (a).

    x-intercepts: (–2, 0) and (6, 0)
    vertex: (2, –16)

    equation: y = (x – 2)2 – 16

  3. Refer to part (a).

    x-intercepts: (10, 0) and (4, 0)
    vertex: (7, –9)

    equation:

  4. First square and combine like terms.

    Refer to part (a).