Question

The vertices of A ABC are (-2,-4),(-4-2) and (- 6. - 4) respectively. Translate ∆ ABC

ABC by the vector (2,3) and reflect the image on the line x=0. Find the co-ordinates of
the vertices of the image under the combined transformation and draw all the triangles
in the graph.​

Answer 1

A(-2,-4), B(-4,-2), C(-6,-4)

Translating by (2,3) adds 2 to the x and 3 to the y so gives

A'(0,-1), B'(-2,1), C'(-4, -1)

Reflecting in x=0 (the y axis) keeps the ys the same but negates the xs

A''(0,-1), B''(2,1), C''(4,-1)

I'll leave the drawing to you.