Question

Given the hyperbola [(x + 3)2/4] – [(y – 1)2/9] = 1, find the foci.
A. (1, 3), (–1, 3)
B. (–3, 1), (3, 1)
C. (–1, 1), (–5, 1)
D. (–3 – , 1), (–3 + , 1)
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Answer 1

http://www.mathwarehouse.com/hyperbola/images/picture-of-hyperbola-horizontal-transverse.gif

$$
\text{yours has a POSITIVE "x" fraction, so is moving left/right}\\
\\
\text{focus for it is at } \color{blue}{\text{"c"}} \text{ distance from the center (h,k)}\\
\color{blue}{c}= \sqrt{a^2+b^2}\\
\text{yours is moving over the "x-axis", so foci will be at}\\
(h\pm \color{blue}{c}, k)
$$