Question

find the image of the given point under the given translation. p(-5,7) t(x,y) = (x + 5, y - 4) p = (0, ?) enter the number that belongs in the green box.

Explanation:

Step1: Apply the translation rule to the y - coordinate

The translation rule is \(T(x,y)=(x + 5,y-4)\). For the point \(P(-5,7)\), we already found the new x - coordinate \(x'=-5 + 5=0\). Now for the y - coordinate, we use the formula \(y'=y-4\).
Substitute \(y = 7\) into \(y'=y - 4\).
\(y'=7-4\)

Answer:

\(3\)