For the given hyperbola, find the vertices, the foci, and the asymptotes.

Then draw the graph.

9x squared minus 16 y squared = 144

Standard form is x squared over a squared minus y squared over b squared equals 1

Multiplying 1 over 144 to get 1 on the right side

Vertices (negative A, 0) and (A,0):

(negative 4, 0) and (4,0):

c squared = a squared plus b squared

Foci (negative c, 0) and (c,0):

(negative 5, 0) and (5,0)

Asymptotes y = b over a times x and y = negative b over a times x

y = three fourths x and y = negative three fourths x