To correctly answer the question, let us verify that Julie's answer is incorrect.
Step 1: Identify the coordinates of the image and pre-image of any of the vertex.
Let us use the vertex C
The coordinates as shown in the diagram are:
[tex]\begin{gathered} C(-1,\text{ 0)} \\ C^{\prime}(-4,\text{ 4)} \end{gathered}[/tex]
Step 2: Using the coordinate, calculate the transformation
The transformation as shown is a translation. Hence we can calculate the transformation by taking the difference of the coordinates:
[tex]\begin{gathered} \text{Difference = (-4-(-1), 4 -0)} \\ \text{= (-3, 4)} \end{gathered}[/tex]
Step 3: State the rule:
The rule is thus:
[tex](x,\text{ y) }\to\text{ (x-3, y + 4)}[/tex]
Answer: Julie's error is a miscalculation of the steps in finding the transformation rule. The correct transformation rule is :
(x, y) -> (x-3, y + 4)
