This is the coordinate of the vertex for a parabola that opens up, defined by a positive value of x^2.
By taking the derivative of the function. At the maximum or minimum of a function, the derivative is zero, or doesn't exist. And end-point of the domain where the function is defined may also be a maximum or minimum.
If the arrows of the graph point down, then the vertex is a maximum because it is the greatest point on the graph. If the arrows point up, then the vertex is the minimum because it is the lowest point.
vertex
There's the vertex (turning point), axis of symmetry, the roots, the maximum or minimum, and of course the parabola which is the curve.
The answer depends on the feasible region and there is no information on which to determine that.
The vertex, or maximum, or minimum.
The point of minimum amplitude is called the trough. The trough is the lowest point on a wave where the amplitude is at its minimum. It is the opposite of the peak, which is the highest point on a wave where the amplitude is at its maximum.
Minimum? Distance from equilibrium to minimum is the amplitude...
15 points is the minimum points
The leftmost point is the minimum value.The rightmost point is the maximum value.The difference between them is the range.The leftmost point is the minimum value.The rightmost point is the maximum value.The difference between them is the range.The leftmost point is the minimum value.The rightmost point is the maximum value.The difference between them is the range.The leftmost point is the minimum value.The rightmost point is the maximum value.The difference between them is the range.
The lowest point of a curve is called the "minimum." In mathematical terms, it represents the point where the function reaches its lowest value in a given interval. If the curve is part of a larger function, this minimum can be classified as a local minimum (lowest point in a small neighborhood) or a global minimum (lowest point across the entire function).
The maximum point of a wave is called the crest, and the minimum point is called the trough.
Yes, in simple harmonic motion, the trough is the point of minimum displacement from the equilibrium position.
A maximum or minimum is generally referred to as an extrema.
The lowest point on a graph or curve is known as the local minimum or global minimum, depending on its context. A local minimum is a point where the function value is lower than that of its immediate neighbors, while a global minimum is the absolute lowest point across the entire graph. This point often represents a minimum value of the function being graphed and can be identified using calculus techniques such as finding the derivative and setting it to zero.
Yes. (But not the other way round - a local minimum is not necessarily an absolute minimum.)Yes. (But not the other way round - a local minimum is not necessarily an absolute minimum.)Yes. (But not the other way round - a local minimum is not necessarily an absolute minimum.)Yes. (But not the other way round - a local minimum is not necessarily an absolute minimum.)
The highest point of a parabola is called the "maximum," while the lowest point is referred to as the "minimum." These points occur at the vertex of the parabola. If the parabola opens upwards, it has a minimum point, and if it opens downwards, it has a maximum point.