Question

1. If the rule (x, y) → (x + 3, y – 3) is applied to the original triangle, give the coordinates of and draw the image. Show your work for calculating the coordinates of the resulting image.

Answer 1

You would apply this translation to each vertex of the triangle by adding 3 to the x-coordinate and subtracting 3 from the y-coordinate.

Coordinates of A are (0, 3)
Image of A under this translation is A' [read A prime] = (0 + 3, 3 - 3) = (3, 0)

Coordinates of B are (-1, 1)
Image of B under this translation is B' = (-1 + 3, 1 - 3) = (2, -2)

Coordinates of C are (2, 1)
Image of C under this translation is C' = (2 + 3, 1 - 3) = (5, -2)


You then constunt the new triangle A'B'C' by connecting point A' , B' and C'.

Hope this helps!

Answer 2

see below

Explanation:

A = (0,3) A' = (0+3, 3-3) = (3,0)

B = (-1,1) B' = (-1+3, 1-3) = (2,-2)

C = (2,1) C' = (2+3, 1-3) = (5,-2)

Plot is attached, draw the lines to connect the points

the y axis is at 2