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).

people went from manufacturing one object at a time by hand to manufacturing many objects in factories

5 x 14?

im new, sorry if this is wrong.

step-by-step explanation: