The minimum point on the graph of the equation y = f(x) is (-1, -3). What is the minimum point on the graph of the equation y = f(x – 5)?

The minimum point on the graph of y = f(x - 5) is (-6,3)

On the graph of the equation y = f(x);

The minimum point is given as (-1,-3)

The graph of y = f(x - 5) means that, f(x) is shifted to the right by 5 units

So, the corresponding point of (x,y) of f(x) on the graph of f(x - 5) is:

This gives

Subtract 5 from -1

Hence, the minimum point on the graph of y = f(x - 5) is (-6,3)

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(4, -3)

Step-by-step explanation:

the equation f(x-5) is a translation of the equation f(x) by 5 units to the right.

So, if all points of the equation f(x) are shifted 5 units to the right, the minimum point of the graph is also shifted 5 units to the right, so to find the minimum point of y = f(x - 5), we just need to sum 5 units to the x-coordinate:

Minimum point = (-1 + 5, -3) = (4, -3)

So the minimum point of y = f(x - 5) is (4, -3).

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !