Given the equation of hyperbola :
[tex]25x^2-4y^2=100[/tex]Divide both sides by 100:
[tex]\begin{gathered} \frac{25x^2}{100}-\frac{4y^2}{100}=1 \\ \\ \frac{x^2}{4}-\frac{y^2}{25}=1 \\ \\ \frac{x^2}{2^2}-\frac{y^2}{5^2}=1 \end{gathered}[/tex]So, the center of the hyperbola = (0,0)
The vertices will be : (2, 0) and (-2,0)
The line of symmetry : y = 0
The intercepts are (2,0) and (-2,0) which represents x- intercepts
There is no y - intercepts for the given hyperbola
The domain will be : all real numbers except (-2 , 2 )
The graph of the hyperbola will be as following :
