Question

question
what is the image point of (7,3) after the transformation ( r_{y - axis} circ t_{-5,1} )?
answer attempt 1 out of 2
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Explanation:

Step1: Translation

First, perform the translation \(T_{-5,1}\). The rule for translation \(T_{a,b}\) is \((x,y)\to(x + a,y + b)\). For \(a=-5\) and \(b = 1\) and the point \((7,3)\), we have:
\((7,3)\to(7+(-5),3 + 1)=(2,4)\)

Step2: Reflection

Next, perform the reflection \(r_{y - axis}\). The rule for reflection over the \(y\)-axis is \((x,y)\to(-x,y)\). For the point \((2,4)\), we get:
\((2,4)\to(-2,4)\)

Answer:

\((-2,4)\)