Question

find the image of the given point under the given translation. p(8, - 3) t(x, y) = (x - 4, y + 7) p = (4, ?) enter the number that belongs in the green box.

Explanation:

Step1: Substitute the y - coordinate of point P into the translation formula for y

Given \(P(8,-3)\) and \(T(x,y)=(x - 4,y + 7)\). For the y - coordinate, we use \(y=-3\) in the formula \(y+7\).

Step2: Calculate the new y - coordinate

Substitute \(y=-3\) into \(y + 7\): \(-3+7 = 4\)

Answer:

\(4\)