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

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1