20
QuizMultiple Choice

Parabolas

Question 20 • Applications and Modeling

The vertex of a parabola is at (-2,4), and the x-intercepts are at -6 and 2. Determine the domain and range of the function.

Answer
A
D: all real numbers R: all real numbers
B
D: -6 ≤ x ≤ 2 R: y ≤ 4
C
D: all real numbers R: y ≤ 4
D
D: x ≤ 4 R: all real numbers

Explanation

A parabola extends indefinitely to the left and right, so its domain is all real numbers. The x-intercepts at −6 and 2 are below the vertex’s y-coordinate of 4, so the parabola opens downward and has a maximum value of 4. Therefore its range is y ≤ 4, matching choice c.

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