Describe the transformation of the equation y=3log2(x−1)+4 compared to its parent function. (i.e. Describe the shift left/right, up/down, stretch/compression)
The transformation of the equation y=3log2(x−1)+4 compared to its parent function y=log2(x) involves:
1. Shift left/right: The function has been shifted 1 unit to the right compared to the parent function y=log2(x). This is indicated by the x−1 inside the logarithm function.
2. Up/down: The function has been shifted 4 units up compared to the parent function. This is indicated by the +4 added to the end of the function.
3. Stretch/compression: The function has been vertically stretched by a factor of 3 compared to the parent function. This is indicated by the coefficient 3 multiplied to the entire logarithm function.