Question

What’s the answer to this graph problem

Answer 1

Given:

A quadrilateral QRST.

To find:

The coordinates of Q' after the transformation of
`(T_(<-1,2>)\circ R_(x-axis))(QRST)`.

Solution:

From the given figure, it is clear that

`Q=(1,3)`

`(T_(<-1,2>)\circ R_(x-axis))(QRST)` means the figure QRST first reflected across the x-axis, then translated by
`T_(<-1,2>)`.

Figure QRST reflected across the x-axis, then

`(x,y)\to (x,-y)`

`Q(1,3)\to Q_1(1,-3)`

After that, it is translated by
`T_(<-1,2>)`.

`(x,y)\to (x-1,y+2)`

`Q_1(1,-3)\to Q'(1-1,-3+2)`

`Q_1(1,-3)\to Q'(0,-1)`

Therefore, the coordinates of Q' are (0,-1).

Note: All options are incorrect.