Enlarge the quadrilateral PQRS with center of enlargement C(2, 1) and scale factor -1/2. The coordinates of P, Q, R, and S are (-3, 1), (-1, 3), (2, -2), and (-2, -2) respectively.

From the graph, the coordinates are:

• $P = (-3, 1)$
• $Q = (-1, 3)$
• $R = (2, -2)$
• $S = (-2, -2)$

The center of enlargement is $C = (2, 1)$ and the scale factor is $k = -\frac{1}{2}$.

The formula for enlargement with center $(a,b)$ and scale factor $k$ is $P'(x', y') = (a + k(x-a), b + k(y-b))$.
Here, $(a,b) = (2,1)$ and $k = -\frac{1}{2}$.

• For P $(-3, 1)$: $x_P' = 2 + \left(-\frac{1}{2}\right)(-3 - 2) = 2 + \left(-\frac{1}{2}\right)(-5) = 2 + \frac{5}{2} = \frac{4}{2} + \frac{5}{2} = \frac{9}{2} = 4.5$ $y_P' = 1 + \left(-\frac{1}{2}\right)(1 - 1) = 1 + \left(-\frac{1}{2}\right)(0) = 1 + 0 = 1$ So, $P' = (4.5, 1)$

• For Q $(-1, 3)$: $x_Q' = 2 + \left(-\frac{1}{2}\right)(-1 - 2) = 2 + \left(-\frac{1}{2}\right)(-3) = 2 + \frac{3}{2} = \frac{4}{2} + \frac{3}{2} = \frac{7}{2} = 3.5$ $y_Q' = 1 + \left(-\frac{1}{2}\right)(3 - 1) = 1 + \left(-\frac{1}{2}\right)(2) = 1 - 1 = 0$ So, $Q' = (3.5, 0)$

• For R $(2, -2)$: $x_R' = 2 + \left(-\frac{1}{2}\right)(2 - 2) = 2 + \left(-\frac{1}{2}\right)(0) = 2 + 0 = 2$ $y_R' = 1 + \left(-\frac{1}{2}\right)(-2 - 1) = 1 + \left(-\frac{1}{2}\right)(-3) = 1 + \frac{3}{2} = \frac{2}{2} + \frac{3}{2} = \frac{5}{2} = 2.5$ So, $R' = (2, 2.5)$

• For S $(-2, -2)$: $x_S' = 2 + \left(-\frac{1}{2}\right)(-2 - 2) = 2 + \left(-\frac{1}{2}\right)(-4) = 2 + 2 = 4$ $y_S' = 1 + \left(-\frac{1}{2}\right)(-2 - 1) = 1 + \left(-\frac{1}{2}\right)(-3) = 1 + \frac{3}{2} = \frac{2}{2} + \frac{3}{2} = \frac{5}{2} = 2.5$ So, $S' = (4, 2.5)$

The new coordinates are:

• $P' = (4.5, 1)$
• $Q' = (3.5, 0)$
• $R' = (2, 2.5)$
• $S' = (4, 2.5)$

To draw the quadrilateral, plot the points $P'(4.5, 1)$, $Q'(3.5, 0)$, $R'(2, 2.5)$, and $S'(4, 2.5)$ on the same graph paper. Then, connect the points in order: $P'$ to $Q'$, $Q'$ to $R'$, $R'$ to $S'$, and $S'$ to $P'$.

The coordinates of the enlarged quadrilateral are $P'(4.5, 1), Q'(3.5, 0), R'(2, 2.5), S'(4, 2.5)$.