A graphics program reflects every point in the x-axis, using the matrix F…

Step 1. The order. $F$ acts first, then $R$. So $M = RF$.

Step 2. The product. Row $1$ of $R$ with column $2$ of $F$ gives $0 \cdot 0 + (-1)(-1) = 1$. Row $2$ of $R$ with column $1$ of $F$ gives $1 \cdot 1 + 0 \cdot 0 = 1$. The other two entries are $0$.

Step 3. The point. $M

=

$.

Step 4. Check the other way. Reflecting first gives $(3, -2)$. Turning that by $90^\circ$ anticlockwise gives $(2, 3)$.