Answer
Given that Tempestt’s function has a maximum located at (−4,2)(-4, 2)(−4,2), the graph must be a parabola that opens downward because the vertex is at a maximum point.
Analysis:
On a coordinate plane, a parabola opens up. It goes through (-6, 6), has a vertex at (-4, 2), and goes through (-2, 6).
In this case:
- The parabola opens upwards, which means it has a minimum at the vertex (−4,2)(-4, 2)(−4,2), not a maximum. Therefore, this option does not match the requirement of having a maximum.
To have a maximum at (−4,2)(-4, 2)(−4,2), the parabola should open downward, not upward. Therefore, the provided option does not correctly represent a parabola with a maximum at (−4,2)(-4, 2)(−4,2).
So, the correct graph must be a parabola that opens downward with the vertex at (−4,2)(-4, 2)(−4,2), and none of the options you provided fits this criterion.
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