Answer:
Explanation:
The equation of a rational function that has a center at (-2, 3) will be of the form:
�
=
�
(
�
−
ℎ
)
2
+
(
�
−
�
)
2
+
�
y=
(x−h)
2
+(y−k)
2
A
+B
Where (h, k) represents the center of the rational function. In this case, (-2, 3) is the center you want.
Looking at the options:
�
=
2
(
�
+
2
)
2
+
3
+
4
y=
(x+2)
2
+3
2
+4 is a possible option since it has the form we're looking for with the center at (-2, 3).
�
=
−
3
/
(
�
+
3
)
−
2
y=−3/(x+3)−2 does not have a center at (-2, 3).
So, the rational function with a center at (-2, 3) is the first option:
�
=
2
(
�
+
2
)
2
+
3
+
4
y=
(x+2)
2
+3
2
+4