What is a minimum and maximum value of a parabola? How is it different from a minimum or maximum point of a parabola? I’ve been told that it’s the y-coordinate of the vertex, but can someone explain why is it just the y value and not the x value?
Who can answer please answer it!
Who can answer please answer it!
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We know what a parabola looks like. In standard position on a graph it has a vertical axis of symmetry. The minimum point of a parabola, its lowest point, is the y value of the vertex. In this position it has no maximum value because the “arms” of the parabola go to infinity. The x value of the vertex tells us where, left to right, the parabola is located on the graph. If the graph of the parabola is upside down then the y value of the vertex is the maximum value — the highest point of the graph.
Now if the graph is turned 90 degrees on its side then it is not a function and has no maximum or minimum value, but the coordinates of the vertex still tell us where on the graph the parabola is located.