Question 974870

Determine the equation of a parabola with vertex (-2,-11) and point (-4,5)show answer in vertex form.
<pre>Vertex form of a parabola: {{{y = a(x - h)^2 + k}}}, which becomes: 
{{{5 = a(- 4 - - 2)^2 + - 11}}}
{{{5 = a(- 4 + 2)^2 - 11}}}
{{{5 = a(- 2)^2 - 11}}}
5 = 4a – 11
4a = 5 + 11
4a = 16
a = {{{16/4}}}, or 4
Equation in vertex form: {{{highlight_green(y = 4(x  + 2)^2 - 11)}}}