Question

Question #9abd1

Answer 1

`"The vertex will be at the point " (-1, \ 4)`

Explanation:

`"Rearrange the formula so that it fits the parabola equation"`

`y= a( x- h)^2+k`

`"The vertex will be at the point" (\ h, \ k)`

`"To rearrange the equation, add one and subtract one"`

`y=-x^2-2x-color(red)1+3+color(red)1`

`y=(-x^2-2x-color(red)1)+3+color(red)1`

`y=-1*(x^2+2x+1)+4`

`y=-1*(x+1)^2+4`

`y=-1*(x-(color(red)(-1)))^2+color(red)4`

`h=-1 " and " k=4`

`"The vertex will be at the point " (-1, \ 4)`

`""`

`"The " x "- intercept is at " x=-3 " and " x=1 "`

`"The " y "- intercept is at " y=3`

graph{-x^2-2*x+3 [-8.77, 6.94, -2.18, 5.675]}