Identify the coordinates of the original triangle and the center of enlargement.

The original triangle has vertices $A(-1, -1)$, $B(-1, -4)$, and $C(-3, -2)$.
The center of enlargement is $O(2, 1)$.
The scale factor is $k=2$.

For a point $(x, y)$ enlarged from a center $(x_c, y_c)$ with a scale factor $k$, the new point $(x', y')$ is given by:

For point $A(-1, -1)$:

So, $A' = (-4, -3)$.

For point $B(-1, -4)$:

So, $B' = (-4, -9)$.

For point $C(-3, -2)$:

So, $C' = (-8, -5)$.

The coordinates of the enlarged triangle are $A'(-4, -3)$, $B'(-4, -9)$, and $C'(-8, -5)$.

• Draw the x-axis and y-axis on the grid provided.
• Plot the center of enlargement $O(2, 1)$.
• Plot the vertices of the original triangle: $A(-1, -1)$, $B(-1, -4)$, and $C(-3, -2)$. Connect these points to form triangle ABC.
• Plot the vertices of the enlarged triangle: $A'(-4, -3)$, $B'(-4, -9)$, and $C'(-8, -5)$. Connect these points to form triangle A'B'C'.

The coordinates of the original triangle are:
$A = (-1, -1)$
$B = (-1, -4)$
$C = (-3, -2)$

The coordinates of the enlarged triangle are:
$A' = (-4, -3)$
$B' = (-4, -9)$
$C' = (-8, -5)$

The center of enlargement is $O = (2, 1)$.