Question

Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ±1/3x.

Answer 1

same type of problem

http://www.mathskey.com/question2answer/16890/hyperbola-help

Answer 2

based on the vertices, what can you say about the orientation ?

Answer 3

will it be UP/DOWN or LEFT/RIGHT ?

Answer 4

up down because its along y

Answer 5

good, use the last column :

Answer 6

y^2/16-

Answer 7

you need to find a,b values and write the equation

Answer 8

yes !

Answer 9

find b value

Answer 10

144

Answer 11

36*

Answer 12

your first answer is correct :
b = 12
so b^2 = 144