Question

quadrilateral krwb is shown on the coordinate grid. apply the sequence of transformations below to quadrilateral krwb. $(x,y)\to(x + 3,y - 7)$ to get $krwb$ $(x,y)\to(-x,-y)$ to get $krwb$ what are the coordinates of $k$?

Explanation:

Step1: Find the coordinates of \( K \)

From the grid, the coordinates of \( K \) are \( (-9,4) \).

Step2: Apply the first transformation \((x,y)\to(x + 3,y-7)\)

For \( K(-9,4) \), substitute \( x=-9 \) and \( y = 4 \) into \( (x + 3,y-7) \).

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So \( K'(-6,-3) \).

Step3: Apply the second transformation \((x,y)\to(-x,-y)\)

For \( K'(-6,-3) \), substitute \( x=-6 \) and \( y=-3 \) into \( (-x,-y) \).

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Answer:

\((6,3)\)