CPM Homework Banner
12-37.
  1. Without graphing, determine if the graph of each equation below has zero, one, or two x‑intercepts. Then describe the roots of each quadratic function. Show all work. Homework Help ✎

  2. a. y = 6x2 + 7x − 20

    b. y = x2 − 8x + 16

    c. y = 2x2 + x + 3

    d. y = (2x + 1)2

0 = (3x − 5)(x + 4)

Two intercepts.

0 = (x − 4)2

The graphs of these equations are all parabolas. To find the x-intercepts, let y = 0 and solve using the Quadratic Formula or factoring and the Zero Product Property.

No intercepts.