Answer :

[tex]F\mleft(x\mright)=-x^2+3x[/tex]

vertex:

[tex]\mleft(\frac{3}{2},\: \frac{9}{4}\mright)[/tex]

intercept:

[tex]x-\text{intercept (0,0),(}3,0)[/tex]

x:

[tex]x=\frac{3}{2}[/tex]

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