The vertex of the parabola is located at the point
Find the intervals where the function is decreasing
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The vertex of the parabola is located at the point
Find the intervals where the function is decreasing
To find where the parabola is decreasing, remember that the parabola is symmetric around the vertical line passing through its vertex. The vertex given is at , meaning it is the point at which the direction changes from decreasing to increasing if the parabola opens upwards, which we'll assume unless told otherwise.
For a standard upward-opening parabola, to the left of the vertex (i.e., ), the parabola is decreasing. This is because as approaches 4 from the left, the function's value increases until it reaches the vertex.
Therefore, the interval where the function is decreasing 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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