Exercises 7.4, page 235

  1. 1.

    A parabola opens upward with a vertex at (negative 2, negative 2), and rises through (0, 6).

  2. 3.

    A parabola opens upward, falling through (0, 5) to vertex (3, negative 4).

  3. 5.            

    A parabola opens downward, rising through (0, negative 4) to vertex (five-thirds, 13-thirds).

  4. 7.

    A parabola opens upward, falling through (0, 0) to vertex (2, negative 4).

  5. 9.

    A parabola opens upward, falling through (negative 2, 0) to vertex (0, negative 4), then rises through (2, 0).

  6. 11.

    A parabola opens downward, rising through (negative 4, 0) to vertex (negative 3 over 2, 25 over 2), then falls through (0, 8) and (1, 0).

  7. 13.            

  8. 15.

  9. 17.  − 1.87 ,  1.87

  10. 19. 0.74, 2.26

  11. 21. No real roots ...

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