4.1-4.3 Skill Recap: Characteristics of Quadratics

Identify the vertex.

recall: the vertex is the lowest or highest point on the parabola!

• -2

• 3

• (-2, 3)

• (3, -3)

• (2, 3)

Identify the vertex.

recall: the vertex is the lowest or highest point on the parabola!

• (0, 7)

• (1, 3)

• (3, 0)

• (3, 1)

• (6, 7)

Which of the following are true for the parabola shown?

• The y-intercept is (0, 7)

• The x-intercept is (0, 7)

• There are no x-intercepts which means there are two imaginary solutions.

• There are no x-intercepts which means there is only one real solution.

Which of the following are true for the parabola shown?

• The y-intercept is (0, 2)

• The x-intercept is (0, 2)

• x-intercepts are

  (-5.5, 0) and (1.5, 0)

• y-intercepts are

  (-5.5, 0) and (1.5, 0)

Identify the 'increasing' part of the parabola.

Identify the 'increasing' part of the parabola.

Identify the 'decreasing' part of the parabola.

Identify the 'decreasing' part of the parabola.

identify the interval of increase.

recall: intervals of incr/decr are intervals of X-VALUES!

• (-∞, -2)

• (-2, ∞)

• (-∞, 3)

• (3, ∞)

identify the interval of decrease.

recall: intervals of incr/decr are intervals of X-VALUES!

• (-∞, -2)

• (-2, ∞)

• (-∞, 3)

• (3, ∞)