Answer:
Explanation:
From the given triangle ABC, we can state the coordinates of the vertices as;
[tex]\begin{gathered} A(1,-1) \\ B(1,1) \\ C(2,2) \end{gathered}[/tex]
Given a scale factor of 4, to determine the coordinates of the vertices of the image after dilation, all we need to do is multiply each of the coordinates of the preimage by the scale factor, 4, as seen below;
[tex]\begin{gathered} A(-1,1)\rightarrow A^{\prime}\lbrack4\cdot(-1),4\cdot1\rbrack\rightarrow A^{\prime}(-4,4) \\ B(1,1)\rightarrow B^{\prime}(4\cdot1,4\cdot1)\rightarrow B^{\prime}(4,4) \\ C(2,2)\rightarrow C^{\prime}(4\cdot2,4\cdot2)\rightarrow C^{\prime}(8,8) \end{gathered}[/tex]
Graphing the preimage (triangle ABC) and the image (triangle A'B'C'), we'll have;
