Question

The vertex of the parabola is at (4,-3) which of the following could be its equation?

Answer 1

$\bf \qquad \textit{parabola vertex form}\\\\ \begin{array}{llll} y=a(x-{{ h}})^2+{{ k}}\\\\ \boxed{x=a(y-{{ k}})^2+{{ h}}} \end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\ -------------------------------\\\\ \begin{cases} h=4\\ k=-3 \end{cases}\implies x=a(y-(-3))^2+4\implies x=a(y+3)^2+4$