Question

Whats the positive and negative points of f(x)= -2x^2+4

Answer 1

positive point:
`(0,√(2))`

negative points:
`(0,-√(2))`.

Explanation:

Factorize the given expression.

`f(x)=-2x^2+4\\f(x)=-2(x^2-2)\\f(x)=-2(x-\sqrt2)(x+√(2))`

Set the function equals to zero.

`-2(x-\sqrt2)(x+√(2))=0\\x=√(2), -√(2)`

So, the positive point is
`(0,√(2))` and negative points is
`(0,-√(2))`.