Which of the following is the equation for the graph shown? x squared over 25 minus y squared over 16 equals 1 x squared over 16 minus y squared over 25 equals 1 y squared over 16 minus x squared over 25 equals 1 y squared over 25 minus x squared over 16 equals 1

The answer to your question is The second choice

Step-by-step explanation:

This is a horizontal hyperbola with its center in (0, 0)

The equation is

a = distance from the center to the vertex = 4

c = distance from the center to the focus ≈ 6.4

Find b

          b² = c² - a²

          b² = 6.4² - 4²

          b² = 40.96 - 16

         b² = 24.96 ≈ 25

Substitution and result

X=2.5,  Y= 6.5

Step-by-step explanation:

It seems the triangle on the left is being transformed and a scale factor of 0.5 or 1/2 is being used since the 6 is half of 12. Therefore you divide 5 by 2 to get 2 and the 13 by 2 to get 6.5.