Given:-
A hyperbola in graph.
To find the value of foci.
So inorder to find the value of foci we use the formula,
[tex]c^2=a^2+b^2[/tex]
So we need to know about the value of a and b first.
The value of a and b can be founded by counting the height and length from the vertex of the parabola to the line.
So we get,
[tex]a=3,b=3[/tex]
So now we substitute the known values in the above formula. so we get,
[tex]\begin{gathered} c^2=3^2+3^2 \\ c^2=9+9 \\ c^2=18 \\ c=\sqrt[]{18} \\ c=3\sqrt[]{2} \end{gathered}[/tex]
So our required foci value is,
[tex](\pm3\sqrt[]{2},0)[/tex]