Question

What would be the coordinate for A', given the following sequence of transformations on triangle ABC.Reflection over the y-axisTranslation up 4(2, 1)(-1, 2)(1, 2)(2, -1)

Answer 1

A reflection over the y-axis is given by:

$(x,y)\rightarrow(-x,y).$

A translation up 4 units is given by:

$(x,y)\rightarrow(x,y+4).$

The combination of the two transformations is given by:

$(x,y)\rightarrow(-x,y+4).$

Applying this transformation to the point A = (-2, -5), we get:

$A=(-2,-5)\rightarrow A^{\prime}=(+2,-5+4)=(2,-1).$

Answer: A' = (2, -1)