Question

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given the preimage y(-7,7) and coordinate notation (x,y)→(y,-x) to describe the transformation, write the coordinate of the image.
y(-7,7)
y(-7,-7)
y(7,7)

Explanation:

Step1: Identify pre - image coordinates

The pre - image point is $Y(-7,7)$, where $x=-7$ and $y = 7$.

Step2: Apply the transformation rule

The transformation rule is $(x,y)\to(y,-x)$. Substitute $x=-7$ and $y = 7$ into the rule. The new $x$ - coordinate of the image is $y = 7$, and the new $y$ - coordinate of the image is $-x=-(-7)=7$.

Answer:

$Y'(7,7)$