Learn How To Shift Graphs Downward Using F(X)-3 In Math Functions

f(x)-3

shifts the parent function f(x) down 3 units

I am assuming that there is more to this prompt and context is required to provide a comprehensive answer. However, given the limited input, I will explain some general concepts related to f(x) – 3.

f(x) is a mathematical function that takes an input value, x, and produces an output value, y, which is often written as f(x). By subtracting 3 from f(x), we are shifting the entire graph of the function down by 3 units on the y-axis. This means that every point on the original graph will be moved downward by 3 units.

For example, if the original graph of f(x) passed through the point (2,5), the new graph of f(x) – 3 will pass through the point (2,2) since we subtracted 3 from the y-coordinate.

Additionally, the domain and range of the function do not change by subtracting a constant term from the function. The domain still consists of all possible input values for the function, and the range still consists of all possible output values after shifting down by 3 units.

In summary, f(x) – 3 shifts the graph of the original function down by 3 units on the y-axis while maintaining the same domain and range.

More Answers: