Question

Question #21f0f

Answer 1

`"vertex "=(1,3)`

Explanation:

`"given a parabola in standard form "color(white)(x);y=ax^2+bx+c`

`"the x-coordinate of the vertex is"`

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

`y=-2x^2+4x+1" is in standard form"`

`"with "a=-2,b=4,c=1`

`rArrx_(color(red)"vertex")=-4/(-4)=1`

`"substitute this value into the equation for y"`

`rArry_(color(red)"vertex")=-2+4+1=3`

`rArrcolor(magenta)"vertex "=(1,3)`
graph{-2x^2+4x+1 [-10, 10, -5, 5]}