Question 1046618

if you have {{{y=ax^2+bx+c}}}

then its graph will either look like a ‘{{{hill}}}’ or a ‘{{{valley}}}’

·         if ‘{{{a}}}’ is positive, it will be a {{{valley}}}

·         if ‘{{{a}}}’ is negative, it will be a {{{hill}}}

so, 
{{{negative}}} sign is associated with the {{{hill}}}

{{{positive}}} sign is associated with the {{{valley}}}

{{{y= -x^2+5x-2}}} -> {{{y= (-1)x^2+5x-2}}} ->{{{y= highlight(-1)x^2+5x-2}}}->{{{negative}}} sign-> it will be a {{{hill}}}
and  
{{{y=x^2+5x-2}}}->{{{y= (1)x^2+5x-2}}}->{{{y= highlight(1)x^2+5x-2}}}->{{{positive}}} sign-> it will be a {{{valley}}}