Question 869121
Begin to sketch these points to get a sense of the graph.  The covertex given means that, from center of (0,0), value for b=8.  The main vertices are on the x-axis.  The given focus tells you, c=17.  The other focus is (-17,0).


a, b, and c are related as {{{a^2+b^2=c^2}}}, so {{{a^2=c^2-b^2}}}.  Substituting the values, {{{a^2=17^2-8^2=225}}}.


The hyperbola equation is {{{highlight(x^2/225-y^2/64=1)}}}.