Question

How do you graph `y=x^2-6x+8`?

Answer 1

`A=(0,8)`
`B=(2,0)`
`C=(4,0)`
`D=(3,-1)_min`

Explanation:

`y=x^2-6x+8=(x-2)(x-4)`

`y_((0))=8`
`y=0 => (x-2)(x-4)=0 => x_1=2 , x_2=4`

`y'=2x-6`
`y'=0 => 2x-6=0 => x=3`
`a>0 => x_min=3 => y_min=y_((3))=3^2-6*3+8=-1`

`=>`
`A=(0,8)`
`B=(2,0)`
`C=(4,0)`
`D=(3,-1)_min`

(graph):
graph{x^2-6x+8 [-3, 8, -5, 15]}