Find the intervals where the function is decreasing:
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Find the intervals where the function is decreasing:
The function is given in vertex form where , , and . This tells us the vertex of the parabola is at . Since is negative, the parabola opens downward.
In such a parabola, the function is increasing to the left of the vertex and decreasing to the right. The axis of symmetry is . To the left of , the function increases, and to the right of , the function decreases.
Therefore, the function is decreasing when .
Thus, the interval where the function is decreasing is for .
The correct answer to this problem is: .
Note that the graph of the function shown below does not intersect the x-axis
The parabola's vertex is A
Identify the interval where the function is decreasing:
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