Question

In which direction will this parabola open? x=53(y+17)^2-41

Answer 1

$x=53(y+17)^2-41\\ x=53(y^2+34y+289)-41\\ x=53y^2+1802y+15317-41\\ x=53y^2+1802y+15276$

As a>0 so the concavity (open) of the parable is to the right.