What is the ordered pair that represents the vertex of [tex]y = -|x + 4|[/tex]?

The vertex of the function y=-|x+4| is the ordered pair (-4, 0), as this is where the graph of the function changes direction.
To find the vertex of the function y=-|x+4|, we need to understand that the vertex of an absolute value function is the point at which the function's graph changes direction. In this case, the inside of the absolute value, x+4, equals zero when x=-4. Therefore, plugging x=-4 into the function, we get y=-|0| which simplifies to y=0. Thus, the vertex of the function is at the ordered pair (-4, 0).

Answered by LevonHelm | 2024-06-24

The ordered pair that represents the vertex of the function y = − ∣ x + 4∣ is ( − 4 , 0 ) . This point is where the graph changes direction and represents the maximum value of the function. It indicates that at x = − 4 , the function reaches its peak of y = 0 .
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Answered by LevonHelm | 2024-08-29