Question

Given the graph, find the coordinates of the vertices of each figure after the transformation.

Answer 1

Solution

Step 1

Write the coordinates of the triangle.

H(0, 3), I(-2, 1) and (-4, 2)

Step 2

$\begin{gathered} (x\text{ , y\rparen }\rightarrow\text{ \lparen x + 3, y - 3\rparen} \\ \\ H\left(0,3\right),I\left(-2,1\right)and\text{ G\lparen}-4,2)_ \\ \\ (x\text{, y}\operatorname{\rparen}\operatorname{\rightarrow}\operatorname{\lparen}\text{x+3, y-3}\operatorname{\rparen} \\ \\ H(0_+3,\text{ 3-3}),I(-2+3,1-3)and\text{ }G\operatorname{\lparen}-4+3,2-3) \\ \\ H(3,\text{ 0\rparen, I \lparen1, -2\rparen. G\lparen-1, -1\rparen} \end{gathered}$

Final answer

H'(3, 0), I'(1, -2), G'(-1, -1)