The equation of the horizontally compressed graph of f(x) is g(x) = f(3x).
To horizontally compress the graph of f(x) by a factor of 1/3, we need to multiply the input of f(x) by 1/3.
This means that the x-values of the graph will be compressed by a factor of 1/3.
- Identify the original function f(x). Let's say f(x) = x^2 + 3x - 2.
- Determine the factor of compression. In this case, the compression factor is 1/3.
- Multiply the input of the original function by the compression factor. For each x-value, multiply x^2 + 3x - 2 by 1/3.
- Substitute the x-values into the new function to find the corresponding y-values.
- Write the equation for the horizontally compressed graph as g(x) = f(3x).
Therefore, the equation of the horizontally compressed graph of f(x) is g(x) = f(3x).