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find the image of the given point under the given translation. p(-7,1) …

Question

find the image of the given point under the given translation. p(-7,1) t(x,y)=(x + 9,y - 3) p=(2,?) enter the number that belongs in the green box.

Explanation:

Step1: Apply the translation rule to the y - coordinate

Given the translation \(T(x,y)=(x + 9,y - 3)\) and the point \(P(-7,1)\). For the y - coordinate, we use the formula \(y'=y - 3\). Here \(y = 1\).

$$y'=1-3$$

Step2: Calculate the value

$$y'=-2$$

Answer:

\(-2\)