I have the answer from the back of the book on these but have no idea how they get to that point. Any help is greatly appreciated!

Write a formula and graph the transformations of m(n) = (1/2)n^2

1. y = m(n+1)

2. y = m(n-3.7)

Answers:

1. (1/2)n^2 + n + (1/2)

2. (1/2)n^2 - 3.7n + 6.845

Thank you!!