The point (a, b) is the top of a rectangle. After a transformation, it maps to the point (-a, b+3), what type of transformations happened?
![The point a b is the top of a rectangle After a transformation it maps to the point a b3 what type of transformations happened class=](https://us-static.z-dn.net/files/d7b/a5c70dda591a1bb0305e7ed8117f9086.png)
Solution
f(x) + a is f(x) shifted upward a units
f(–x) is the mirror of f(x) ("reflected about
the y-axis") (x,y) becomes (-x,y)
Answer
Reflection over the y-axis and translated 3 units up.