80568
AssignmentMultiple Choice

Quadratic Functions: Vertex Form

Question 80568 • CUSD Math 01 A (5.0)

Consider the graph of the function f(x) = 2(x + 3)2 + 2. Over which interval is the graph decreasing?

Answer
A
(–∞, –3)
B
(–∞, 2)
C
(–3, ∞)
D
(2, ∞)

Explanation

The function is in vertex form, f(x) = 2(x + 3)² + 2, so its vertex is at x = −3. Since the coefficient 2 is positive, the parabola opens upward and decreases as x moves toward the vertex from the left; therefore, it is decreasing on (−∞, −3), choice A.

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