Question

t(x-8, y+4) is our translation point p(3,0) is a pre-image point. what will be the coordinates of the new image point, p ? p(-5,-4) p(-5,0) p(-5,4)

Explanation:

Step1: Apply x - translation

For the x - coordinate of the pre - image point \(P(3,0)\), we use the translation rule for the x - coordinate which is \(x
ightarrow x - 8\). Substitute \(x = 3\) into the formula: \(3-8=- 5\).

Step2: Apply y - translation

For the y - coordinate of the pre - image point \(P(3,0)\), we use the translation rule for the y - coordinate which is \(y
ightarrow y + 4\). Substitute \(y=0\) into the formula: \(0 + 4=4\).

Answer:

\(P'(-5,4)\)