can anybody help me with quadratic functions?

Question

f(x)=-2(x-2)squared-2

Answer 1

Given:
f(x)=[-2(x-2)]^-2
Distribute:
f(x)=[-2x+4]^-2
Square the Quantity:
f(x)=[4x^2+16]^-1
Raise the square to the -1 power:
f(x)=1/4x^2+16

Hope this helps. :)

Answer 2

If you're just looking to expand it, start with the powers first, and then distribute the -2, and then combine all of the like terms:

f(x) = -2(x - 2)^2 - 2
f(x) = -2(x^2 - 4x + 4) - 2
f(x) = -2x^2 + 8x - 8 - 2
f(x) = -2x^2 + 8x - 10

From here, you can do all sorts of things - graph it, find zeros, take derivatives, etc. But this is your function without any of the powers and parentheses, which is easier to look at than the original one you posted.

Answer 3

Answer is -2xsquared+8x-10
First foil the square of x-2 times x-2 then multiply by -2 then finally subtract 2.
(2x-2)(x+5)

Answer 4

-2x^2+8x-2 i think