Find the standard equation of a parabola with vertex at (5,1) passing through the point (10,-4). Remember to write your answers as exact numbers (fractions), rather than a decimal approximation.
Find the standard equation of a parabola with vertex at (-7,4) passing through the point (-10,-1). Remember to write your answers as exact numbers (fractions), rather than a decimal approximation.
Find the standard equation of a parabola with zeros at x=-1 and x=4 passing through the point (1,-5). Remember to write your answers as exact numbers (fractions), rather than a decimal approximation.