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]