Question 431081
Solution:{{{y=-2x^2-6x+5}}} represent a parabola which opens down.

The standard form is: {{{y=-2(x^2+2(3/2)x+9/4)-(9/4)-(10/4)=-2(x+3/2)^2+(19

/2)}}}

Function, {{{y=-2(x+3/2)^2+19/2}}}, tell us the vertex (-3/2,19/2) and the 

maximum value of y=19/4.

Done.