Question

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

Explanation:

Step1: Substitute \(x\) - coordinate

Given \(x=-7\) in the translation \(T(x,y)=(x + 9,y-3)\).
Substitute \(x\) value: \(-7+9\)

$$ -7 + 9=2 $$

Step2: Substitute \(y\) - coordinate (though not required for the green - box which is \(x\) - coordinate in \(P'=(x',y')\))

For completeness (but the green box is for the first coordinate). The formula for translation is applied component - wise.

Answer:

\(2\)