So, given a quadratic function, y = ax2<span> + bx + c, when "a" is positive, the </span>parabola<span> opens upward and the vertex is the </span>minimum<span> value. On the other hand, if "a" is negative, the graph opens </span>downward<span> and the vertex is the </span>maximum<span> value. To put it in complicated terms. Or when A is positive the graph is shaped like a U but if A is negative the graph is an upside down U
A quadratic function is one of the form f(x) = ax2 + bx + c, where a,
b, and c are numbers with a not equal to zero.
The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward
and vary in "width" or "steepness", but they all have the same basic "U" shape.
´
Graphs of
quadratic functions have a unique
symmetrical nature<span> with a maximum or minimum function value
corresponding to the vertex. </span>
´When the
leading coefficient of the quadratic expression representing the function is
negative the graph opens down and when positive it opens up.