Question

your turn

1. draw the image of each figure under the given transformation. record the coordinate of the image k

1. δabc maps to δabc.

for your turn #2 - 3, write the coordinate rule that maps each preimage to its image. then identify the transformation. record the preimage and image on the graph. #2 is partly done for you.

Explanation:

Step1: Apply the transformation rule to point \(K(-2,1)\)

The transformation rule is \((x,y)\to(\frac{-x}{2},y)\).
For \(x = - 2\) and \(y = 1\), substitute into \(\frac{-x}{2}\): \(\frac{-(-2)}{2}=\frac{2}{2} = 1\).
So \(K'=(1,1)\).

Step2: Apply the transformation rule to point \(L(4,-3)\)

For \(x = 4\) and \(y=-3\), substitute into \(\frac{-x}{2}\): \(\frac{-4}{2}=-2\).
So \(L'=(-2,-3)\).

Step3: Apply the transformation rule to point \(M(-2,-4)\)

For \(x=-2\) and \(y = - 4\), substitute into \(\frac{-x}{2}\): \(\frac{-(-2)}{2}=1\).
So \(M'=(1,-4)\).

Answer:

\(K'=(1,1)\), \(L'=(-2,-3)\), \(M'=(1,-4)\)