Question

Rewrite f(x) = –2(x − 3)^2 + 2 from vertex form to standard form.

Answer 1

@GabbyLovesYou @Loser66 @Nnesha @welshfella

Answer 2

expand the (x - 3)^2 first

Answer 3

(x - 3)(x - 3) = ?

Answer 4

x^2 - x^3 - x^3 + 9

Answer 5

well you have the first and last terms correct

but 3 times x is not x-cubed

Answer 6

x * x * x = x^3
3 * x = 3x

Answer 7

Ah, x^2 - 3x - 3x + 9

Answer 8

right
now you can add the 2 middle terms to give
x^2 - 6x + 9

Answer 9

Yes

Answer 10

Multiply by -2?

Answer 11

so we have
-2(x^2 - 6x + 9) + 2

now distribute the -2 over the parentheses
- which basically means you multiply (x^2 - 6x + 9) by -2

Answer 12

-2x^2 +12x - 18

Answer 13

right - but dont forget the + 2

Answer 14

Ah, -2x^2 +12x - 20

Answer 15

not quite - 18 + 2 = -16

Answer 16

Oh, right, didn't see the "-".

Answer 17

Thanks a lot!

Answer 18

yw