Question 1125823
Find the quadratic function that has given vertex and goes through the given point. (5,6), point (-1,0)
<pre>Vertex form of a parabolic function: {{{matrix(1,3, f(x), "=", a(x - h)^2 + k)}}}
{{{matrix(1,3, 0, "=", a(- 1 - 5)^2 + 6)}}} -------- Substituting (- 1, 0) for [x, f(x)] and (5, 6) for (h, k)
This should give you an "a" value of {{{- 1/6}}}, and the equation: {{{highlight_green(matrix(1,3, y, "=", (- 1/6)(x - 5)^2 + 6))}}}
That's IT!!