Question 1198937

{{{9x^2 + 36y^2=324}}}.......divide by {{{324}}}

{{{9x^2/324 + 36y^2/324=324/324}}}

{{{x^2/36+ y^2/9=1}}}

=>
{{{h=0}}}, {{{k=0}}}

{{{a=6}}}, {{{b=3}}}


For an ellipse with major axis parallel to the x-axis, the vertices are: ({{{h+a}}},{{{k}}}), ({{{h-a}}},{{{ k}}})


the vertices on the major axis are ({{{-6}}},{{{0}}}) and ({{{6}}},{{{0}}}), 

and the vertices on minor axis are ({{{0}}},{{{-3}}}) and ({{{0}}},{{{3}}})


answer:

D) the vertices on the major axis are ({{{-6}}},{{{0}}}) and ({{{6}}},{{{0}}}), and the vertices on minor axis are ({{{0}}},{{{-3}}}) and ({{{0}}},{{{3}}})