The scale factor of (3/2) means that we multiply each coordinate of each point by (3/2). Let's write the coordinates of the Triangle already drawn.
[tex]\begin{gathered} Q=(-2,2) \\ R=(2,0) \\ S=(4,6) \end{gathered}[/tex]Let's find Q'R'S' by multiplying each coordinate with (3/2). So,
[tex]\begin{gathered} Q^{\prime}=(-2\times\frac{3}{2},2\times\frac{3}{2})=(-3,3) \\ R^{\prime}=(2\times\frac{3}{2},0\times\frac{3}{2})=(3,0) \\ S^{\prime}=(4\times\frac{3}{2},6\times\frac{3}{2})=(6,9) \end{gathered}[/tex]Let's draw the transformed triangle:
The red is QRS and the blue one is Q'R'S'