Question

Find the vertices and foci of the hyperbola with equation x^2/9-y^2/16 = 1

Answer 1

@aum

Answer 2

Compare it to the standard form: \(\large \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\) and identify a and b.

Answer 3

a=3 b=4

Answer 4

Correct.
Vertex at (-a, 0) and (a, 0)
Focus at (-c, 0) and (c, 0) where c^2 = a^2 + b^2

Answer 5

oh wow thank you!!

Answer 6

You are welcome.