Final answer:
The corresponding point on the graph of y= f(x+3)-5 for the given point (1,3) on the graph of y=f(x) is (-2, -2), after adjusting the x-value by subtracting 3 and the y-value by subtracting 5.
Step-by-step explanation:
The question asks us to determine the point on the graph of y= f(x+3)-5 if we know a point from the graph of y= f(x). Given the point (1,3) on the graph of y=f(x), to find the corresponding point on the graph of y=f(x+3)-5, we would adjust the x-value by subtracting 3 and the y-value by subtracting 5 from the given point.
Therefore:
- The original x-value is 1. When we apply the change of 'x+3', we need to find an x such that x+3 = 1. Solving for x gives us x = -2.
- The original y-value is 3. When we apply the change of '-5', we subtract 5 from 3, which gives us -2.
Thus, the corresponding point on the graph of y= f(x+3)-5 would be (-2, -2).