Question

hyperbola with center at (0,0) with x intercepts at (4,0) and (-4,0) with b= 1 , opening horizontally equation

Answer 1

Check the picture below.

now, if the x-intercepts are at ±4 whilst the center is at the origin, that means the vertices are the ones hitting the x-axis, like in the picture, so just plug in the values for a, b, h and k.