Plot Plot A(2,2) B(6,2) D(2,5) E and E(4,7) Translate the object using (x,y) -> (x+3, y+2) Reflect the translated image x-axis. Use an scale of 2cm to 2units A(2+3) -> A(5,4) -> (2+2) x-y -> (x-y) A(5-4)

here's the solution to your homework problem. Step 1: Identify the initial vertices of the object. The problem states the object has vertices A(2,2), B(6,2), D(2,5), and E(4,7). The initial coordinates are: A(2,2) B(6,2) D(2,5) E(4,7) Step 2: Translate the object using the rule (x,y) (x+3, y+2). We apply this translation rule to each vertex: For A(2,2): A' = (2+3, 2+2) = (5,4) For B(6,2): B' = (6+3, 2+2) = (9,4) For D(2,5): D' = (2+3, 5+2) = (5,7) For E(4,7): E' = (4+3, 7+2) = (7,9) The coordinates of the translated image are A'(5,4), B'(9,4), D'(5,7), and E'(7,9). Step 3: Reflect the translated image across the x-axis. The rule for reflection across the x-axis is (x,y) (x, -y). We apply this rule to the translated vertices: For A'(5,4): A'' = (5, -4) For B'(9,4): B'' = (9, -4) For D'(5,7): D'' = (5, -7) For E'(7,9): E'' = (7, -9) The final coordinates of the reflected image are A''(5, -4), B''(9, -4), D''(5, -7), E''(7, -9). (The instruction "Use a scale of 2cm to 2 units" is for plotting, which is not performed here.) Got more? Send 'em!