The image of the function, function p(x), is translated 5 units right and vertically stretch by a factor of 7.
How to compare a function and its image
In this question we find the definition and the graph of a function, with which its image must be compared. By direct inspection, we notice that image is the consecuence of two rigid transformations:
Horizontal translation
g(x) = f(x - a), there is rightward translation for a > 0.
Vertical stretch
g(x) = k · f(x), where k > 0.
The image of the function is the result of the following rigid transformations:
- Horizontal translation: 5 units right.
- Vertical stretch: Stretch factor: 7