How do write an equation for this hyperbola from the foci?

Memorize the formula

Step-by-step explanation:

( x / a )^2 - ( y / b )^2 = 1

Where a and b are the semi-axis

The value of a is half the distance from points that cuts off x-axis, in this case

From -5 to 5 there is 10 so 5 is value of "a"

Value of b can find by the formula

c^2 = a^2 + b^2

Which c is the value of the point bold on the rightmost place in x axis. In this case its 13

13^2 = 5^2 + b^2

169 = 25 + b^2

b = 12

SO we got a = 5, b = 12

ANSWER: (x/5)^2 - (y/12)^2 = 1