Question

How do you write `y=-2(x+1)^2 +3` in standard form?

Answer 1

In standard form: `y = -2x^2-4x +1`

Explanation:

Standard form for a quadratic is
`color(white)("XXXX")` `y = ax^2+bx+c`

`y = -2(x+1)^2+3`
can be expanded as
`color(white)("XXXX")` `y=(-2)(x^2+2x+1)+3`

`color(white)("XXXX")` `y=-(-2x^2 -4x -2)+3`

`color(white)("XXXX")` `y=-2x^2 -4x +1`