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8-38.
  1. For each pair of intercepts given below, write an equation for a quadratic function in standard form. Homework Help ✎

    1. (−3, 0) and (2, 0)

    2. (−3, 0) and (, 0)

Work backwards: use the zero product property to write an equation in factored form, then simplify.

x = −3 or x = 2
x + 3 = 0 or x − 2 = 0
(x + 3)(x − 2) = 0
x² + x − 6 = y

See part (a).