The equation y^2 - x^2 = 1 describes the Hyperbola section
Step-by-step explanation:
1.Circle
(x-h)^2+(y-k)^2=r^2
- With the formula when we square the variables we get equal signed same coefficients for this equation
2.Ellipses
(x-h)^2/a^2+(y-k)^2/b^2=1
(x-h)^2/b^2+(y-k)^2/a^2=1
- With the formula when we square the variables we get unequal same signed coefficients
3.Parabola
y-k=4p(x-h)^2
x-h=4p(y-k)^2
- With the formula when we square the one variable we get the parabola
4.Hyperbola
(x-h)^2/a^2-(y-k)^2/b^2=1
(x-h)^2/b^2-(y-k)^2/a^2=1
- With the formula when we square the variables we get one value in the form of negative that is hyperbola