Question

(Score for Question 3:

of 3 points)
3. Describe the transformation that takes
(x)=x+1 to g(x) = -x +4.
Answer:

Answer 1

It's a rotation of 90 degrees - doesn't matter which way - around the intersection of the two lines

Explanation:

Claim: it's a 90 degree rotation around the intersection of f and g.

It's easy to spot the two lines are perpendicular. Let's assume the rotation doesn't happen at the point of intersection
`x_0`, but slightly to the side, around let's say,
`x_0+\epsilon`; the new line will coincide with
`g(x)` if and only if
`\epsilon = 0`, ie only the rotation happens around the intersection.