Question

How do you write `y = 2(x + 4)^2 - 21` in standard form?

Answer 1

Standard form relates to writing a function such as yours as `ax^n+bx^(n-1)+...+a'y^n+b'y^(n-1)+...`constant

Thus, let's just distribute your product and then move everything to the same side:

`y=2(x^2+8x+16)-21`
`y=2x^2+16x+32-21`
`y=2x^2+16x+11`

`2x^2+16x-y+11=0`