Final answer:
Imagine your grassfield on a graph. Vertically stretching by a factor of 5 multiplies the y-coordinate by 5, while translating up by 2 units moves the entire field up by 2 units on the graph.
Step-by-step explanation:
If you imagine your grassfield as a graph on a coordinate plane, vertically stretching by a factor of 5 means that every point (x, y) on the grassfield will have its y-coordinate multiplied by 5. In mathematical terms, if the original grassfield is represented by a function y = f(x), after the vertical stretch, it will be represented by y = 5f(x). This transformation makes the field appear 5 times taller than before. Translating up by 2 units means that after the vertical stretch has been applied, you will then move the entire grass field up by 2 units on the coordinate plane. This is equivalent to adding 2 to the function after the stretch, resulting in a new function y = 5f(x) + 2.