Given the following function y = |x-4|+ 3 where will it be located on a graph?
The function y = |x-4|+3 represents an absolute value function that has been shifted vertically upward by 3 units.
The vertex of the function occurs at x = 4, which means the point (4, 3) is the lowest point on the graph. This is because the absolute value of any real number is always non-negative.
As x approaches positive or negative infinity, the y-value increases without bound. However, since the function is shifted upward by 3 units, the lowest point on the graph will be (4, 3) instead of (0, 0) in a typical absolute value function.
The graph will consist of two lines meeting at the vertex (4, 3), forming a "V" shape. The left side of the graph will extend indefinitely to the left, and the right side of the graph will extend indefinitely to the right.