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 $(T_{}\circ R_{x-axis})(QRST)$.

Solution:

From the given figure, it is clear that

$Q=(1,3)$

$(T_{}\circ R_{x-axis})(QRST)$ means the figure QRST first reflected across the x-axis, then translated by $T_{}$.

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 $T_{}$.

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

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

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

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

Note: All options are incorrect.