Question

question
what is the image point of (-7, 4) after a translation left 3 units and up 5 units?
answer attempt 1 out of 2
(\boxed{1}, \boxed{})
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Explanation:

Step1: Calculate the new x - coordinate

When translating a point left by \(n\) units, we subtract \(n\) from the \(x\) - coordinate. Here, \(n = 3\) and the original \(x\) - coordinate is \(x=-7\). So the new \(x\) - coordinate is \(x'=-7 - 3=-10\).

Step2: Calculate the new y - coordinate

When translating a point up by \(m\) units, we add \(m\) to the \(y\) - coordinate. Here, \(m = 5\) and the original \(y\) - coordinate is \(y = 4\). So the new \(y\) - coordinate is \(y'=4 + 5=9\).

Answer:

\((-10,9)\)