Question

determine a series of transformations that would map figure n onto figure o.

Explanation:

Step1: Reflect over the x - axis

When a figure is reflected over the \(x\) - axis, the \(y\) - coordinate of each point \((x,y)\) changes to \((x, - y)\). This will flip Figure \(N\) vertically.

Step2: Translate 3 units left and 12 units up

A translation of \(3\) units left means subtracting \(3\) from the \(x\) - coordinate of each point \((x,y)\) (new \(x=x - 3\)), and a translation of \(12\) units up means adding \(12\) to the \(y\) - coordinate (new \(y=y + 12\)).

Answer:

Reflect over the \(x\) - axis followed by a translation \(3\) units left and \(12\) units up.