Hi there!
[tex]\large\boxed{\text{ Vertex at (\frac{1}{2}, \frac{7}{4})}}[/tex][tex]\large\boxed{\text{ Vertex at }(\frac{1}{2}, \frac{7}{4})}}[/tex]
We can use "Completing the Square" to solve:
f(x) = x² - x + 2
Group the variables. The "x" term's coefficient will be divided by two and squared for the third part of the trinomial. Remember to subtract by the third term:
f(x) = x² - x + (1/2)² + 2 - (1/2)²
Group:
f(x) = (x - 1/2)² + 2 - 1/4
Rewrite:
f(x) = (x - 1/2)² - 7/4
Thus, the first answer is correct.
Answer: The correct answer is the first option
Hope this helped ;)
