Question

identify the sequence of transformations that will carry △abc→△abc. give your answer in the form of a composition transformation mapping. (1 point) (x,y)→(x, -y + 4) (x,y)→(x - 4, -y) (x,y)→(x + 4, -y) (x,y)→(x, -y - 4)

Explanation:

Step1: Analyze x - coordinate change

The x - coordinates of the points in \(\triangle ABC\) seem to have a horizontal shift. If we assume a point \((x,y)\) in \(\triangle ABC\) and its corresponding point \((x',y')\) in \(\triangle A''B''C''\), we observe that the x - coordinate of the new point \(x'=x + 4\). For example, if we consider a general point's x - value transformation.

Step2: Analyze y - coordinate change

The y - coordinate of the new point \(y'=-y\). This indicates a reflection over the x - axis.

Answer:

\((x,y)\to(x + 4,-y)\)