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WRITING A quadratic function is increasing on (- ∞ ,2) and decreasing on (2, ∞). Is the vertex the highest or lowest point on the parabola? Explain.



Answer :

The vertex of the parabola of the quadratic function that is increasing in the interval (-∞, 2), and decreasing in the interval (2, ∞), is the highest point on the parabola.

How can the type of vertex be found from the description of the quadratic function?

The given description of the quadratic function is presented as follows;

The interval the function is increasing = (-∞, 2)

The interval the function is decreasing = (2, ∞)

The graph of the function is therefore increasing from -∞ up to the point just before 2.

The graph of the function is decreasing from the point just after 2 to infinity.

The point 2 is therefore the highest point of the graph and also, the vertex of the quadratic function.

Therefore;

  • The vertex of the parabola of the quadratic function is the highest point

Learn more the graph of a quadratic function here:

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