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For a quadratic function on the form $y=ax_{2}+bx+c$, a positive value of $a$ gives an opening upward and a negative value gives an opening downward.

We see in the figure that the curves with a positive coefficient in front of $x_{2}$ are $A$ and $D$, while $B$ and $C$ have negative coefficients.

b

We can read that a curve with an absolute maximum will have a **negative** coefficient in front of the $x_{2}$-term. The function that this applies to is $h(x)=9x−6x_{2}+0.3,$ where $a=-6$, which then must be the only function with a maximum point.