Question

Which of the following equations is of a parabola with a vertex at (0, -5)?

Answer 1

$\bf ~~~~~~\textit{parabola vertex form} \\\\ y=a(x- h)^2+ k \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] ~\dotfill\\\\ y=(x-5)^2\implies y=(x-\stackrel{h}{5})^2+\stackrel{k}{0}~~\checkmark \\\\\\ y=(x+5)^2\implies y=[x-(-5)]^2\implies y=[x-(-\stackrel{h}{5})]^2+\stackrel{k}{0}~~\checkmark$