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Which of the following rational functions has a center at (-2, 3)?

+2
x +
4
y=+2+3
O
4
0 y = = = 2
+3
0 y = -3-2
x+3

User BuLB JoBs
by
7.6k points

1 Answer

2 votes

Answer:

Explanation:

The equation of a rational function that has a center at (-2, 3) will be of the form:

=

(

)

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

User Noah Sparks
by
8.5k points

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