Question

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?

Answer 1

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.