Given the Green graph f(x) determine and describe the transformation needed to become the Purple graph:
Write the transformation in the form fx=afbx-c+d to change from the Green to Purple graph.
Describe the transformation in terms of direction and type (for example vertical translation up by
To transform the Green graph to the Purple graph using the transformation fx=afbx-c+d, several changes need to be made:
1. Vertical translation up by 2 units: This can be achieved by adding 2 to the function, so fx = f(x) + 2.
2. Horizontal stretch by a factor of 2: This can be achieved by multiplying the input (x) by 2, so fx = f(2x) + 2.
Thus, the transformation from the Green graph to the Purple graph can be described as:
fx = f(2x) + 2.