Question

Question #bb0e7

Answer 1

`x=1/2`

Explanation:

`"the axis of symmetry passes through the vertex, is a vertical"`
`"line with equation x = c where c is the value of the "`
`"x-coordinate of the vertex"`

`"for a parabola in standard form "y=ax^2+bx+c`

`x_(color(red)"vertex")=-b/(2a)`

`y=-x^2+x+3" is in standard form"`

`"with "a=-1,b=1,c=3`

`rArrx_(color(red)"vertex")=-1/(-2)=1/2`

`rArr"axis of symmetry is "x=1/2` graph{(y+x^2-x-3)(y-1000x+500)=0 [-10, 10, -5, 5]}