Question

Which is an equation for the parabola that has vertex (4,1) and passes through the point (-2,73)?

Answer 1

use the vertex form of a parabola
thus
\(\bf y = a(x-{\color{red}{ h}})^2+{\color{blue}{ k}}\qquad vertex\quad ({\color{red}{ 4}},{\color{blue}{ 1}})\)

so... what does that give you?