Question

Choose the correct vertex of the function f(x) = x2 - x + 2.

Answer 1

Rewrite it into vertex form with completing the square:
f(x) = x^2 - x + 2 = (x^2 - x) + 2 = (x^2 - x + 1/4) + 2 + 1/4 = (x - 1/2)^2 + 9/4;

So the vertex is (1/2, 9/4).

Answer 2

Answer:

Vertex is $(\frac{1}{2}, \frac{7}{4})$

Step-by-step explanation:

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

To find out vertex we use formula

$x= \frac{-b}{2a}$

From the given f9x), a= 1 and b = -1

Plug in the values in the formula

$x= \frac{-(-1)}{2(1)}=\frac{1}{2}$

Now plug in 1/2 for x in f(x)

$f(\frac{1}{2})= ( \frac{1}{2})^2 - (\frac{1}{2})+2=\frac{7}{4}$

So vertex is (1/2 , 7/4)