Finding Intervals of Increase for a Parabola with Vertex at x = 4

Name: Video Solution: Finding Intervals of Increase for a Parabola with Vertex at x = 4
Description: Step-by-step video solution

The vertex of the smiling parabola is located at the point $x=4$

Find the intervals of increase of the function

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The vertex of the smiling parabola is located at the point $x=4$

Find the intervals of increase of the function

To determine the intervals of increase for the given "smiling" parabola with a vertex at $x = 4$ , follow these steps:

Since the parabola is described as "smiling," it opens upwards, which means it has its minimum at the vertex.
The function decreases in the interval to the left of the vertex and increases to the right of it.
Thus, the parabola is increasing for $x > 4$ .

Therefore, the correct interval of increase for the function is $x > 4$ .

$x>4$

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Based on the data in the graph

Identify the domain where the function increases:

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