Question

For a given function ƒ(x) = x2 – x + 1, the operation –ƒ(x) = –(x2 – x + 1) will result in a

Answer 1

Given:

The function is:

$f(x)=x^2-x+1$

To find:

The result of the operation $-f(x)=-(x^2-x+1)$.

Solution:

If $g(x)=-f(x)$, then the graph of f(x) is reflected across the x-axis to get the graph of g(x).

We have,

$f(x)=x^2-x+1$

The given operation is:

$-f(x)=-(x^2-x+1)$

So, it will result in a reflection across the x-axis.

Therefore, the correct option is A.