The equation of the hyperbola shown below can be written as (x - h)^2/a^2 - (y - k)^2/b^2 = 1.
Find h + k + a + b.
Equation of hyperbola is
\({(x-h)^2 \over a^2}-{(y-k)^2 \over b^2} = 1\)
∴ Center of hyperbola is (h,k)
Now, from figure
(h,k) = (5,4)
⇒ h = 5
⇒ k = 4
a = 3
b = 2
∴ \(h+k+a+b=5+4+3+2\)
\(=14\)
~ Hope this helps :)