Question

What is the image point of (8,-4) after the transformation 7x-axis O
T-1,3?

Answer 1

The coordinate of the image of the point (8, -4) after the composite transformation,
`r_(x-axis)\circ T_(-1, \, 3)` is; (7, 1)

The steps used to find the coordinate of the image point after the transformation can be presented as follows;

The coordinates of the point (8, -4) after a transformation
`r_(x-axis)\circ T_(-1, \, 3)`, can be found by first applying the translation, T₋₁, ₃ part of the composite transformation as follows;

(8, -4) → T₋₁, ₃ → (8 - 1, -4 + 3) = (7, -1)

The reflection part of the composite transformation,
`r_(x-axis)`, can then be applied to the above image point (7, -1), to get;

(7, -1) →
`r_(x-axis)` → (7, 1)

Therefore, the image point of (8, -4) after the composite transformation,
`r_(x-axis)\circ T_(-1, \, 3)`, is (7, 1)