80569
AssignmentMultiple Choice

Quadratic Functions: Vertex Form

Question 80569 • * FL-1200315-Algebra 1 Sem 2 - CR

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.

AI-written and checked against the verified answer.

Previous
Next