Question

Write the equation of the parabola in vertex f
orm.

vertex (0, 3), point (–4, –45)

Answer 1

vertex is \((0,3)\) so you know it looks like
\[y=ax^2+3\] but you do not know \(a\) yet
replace \(x\) by -4, \(y\) by -45 and solve for \(a\)

Answer 2

in other words solve
\[-45=a(-4)^2+3\] for \(a\) and you will be done