Jake cut out 3 small circles and 5 big circles from a piece of cardboard. The radius of each small circle was x inches and the r
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A quadratic function is a function of the form 
. The vertex, 
of a quadratic function is determined by the formula: 
and 
; where 
is the x-coordinate of the vertex and 
is the y-coordinate of the vertex. The value of 
determines if the <span>parabola opens upward or downward; if</span> is positive, the parabola<span> opens upward and the vertex is the minimum value, but if </span> is negative <span>the graph opens downward and the vertex is the maximum value. Since the quadratic function only has one vertex, it </span><span>could not contain both a minimum vertex and a maximum vertex at the same time.</span>
Let 
, so that 
, 
, and 
. Then
Now let
, so that 
. Then
Transform back to
to get
and again to get back a result in terms of
.
Now let
Transform back to
and again to get back a result in terms of