Question

Help with changing equations??
Change the equation -2(x-2)^2+2 into general and standard form of a quadratic equation.

Answer 1

You first need to FOIL the (x-2)^2 :

(x-2)(x-2) = x^2 - 4x +4

Now, multiply the -2 by the result obtained from FOIL-ing
-2(x^2 - 4x +4) = -2x^2 + 8x - 8

Now we have:
-2x^2 + 8x - 8 + 2 = -2x^2 + 8x -6
Remember the standard form of a quadratic is:
ax^2 + bx + c = 0

where a, b, and c are constants.

So your answer will be:

-2x^2 + 8x + 6 = 0

Answer 2

My mistake, it's not -2x^2 + 8x + 6

it's -2x^2 + 8x - 6.

Answer 3

Final answer: -2x^2 + 8x - 6 = 0

Answer 4

Thank you. So the standard form is -2x^2 + 8x - 6 = 0, then what is the general form?

Answer 5

No worries! The general form is

f(x) = ax^2 + bx + c

So yours would be:
f(x) = -2x^2 + 8x - 6

Answer 6

Alright, thank you again!

Answer 7

You're welcome!