Find the intervals where the function is decreasing:
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Find the intervals where the function is decreasing:
To determine where the function is decreasing, we need to find the vertex of the parabola. The vertex for a quadratic function in the form occurs at the x-value given by .
Step 1: Identify the coefficients and .
Step 2: Calculate the vertex x-coordinate:
.
Step 3: Since is negative, the parabola opens downwards. Thus, the function decreases for x-values greater than .
Therefore, the interval where the function is decreasing is .
The correct choice 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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