Question

What is the vertex form of `y=x^2-9x+3`?

Answer 1

`(x-9/2)^2-69/4`

Explanation:

`"the equation of a parabola in "color(blue)"vertex form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=a(x-h)^2+k)color(white)(2/2)|)))`

`"where "(h,k)" are the coordinates of the vertex and a"`
`"is a multiplier"`

`"we can obtain this form using "color(blue)"completing the square"`

`y=x^2+2(-9/2)x+81/4-81/4+3`

`color(white)(y)=(x-9/2)^2-69/4`