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4-40.
  1. Find the vertex of each of the following parabolas by averaging the x-intercepts. Then write each equation in graphing form. Homework Help ✎

    1. y = (x − 3)(x − 11)

    2. y = (x + 2)(x − 6)

    3. y = x2 − 14x + 40

    4. y = (x −2)2 − 1

x-intercepts: (3, 0) and (11, 0)

Average: x = 7

y = (7 − 3)(7 − 11)

y = −16
(7, −16)
y = (x − 7)2 − 16

(2, −16)
y = (x − 2) − 16

Use the same method you used for parts (a) and (b).

(2, −1)

The equation is already in graphing form.