Answer:
A
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then
minimum/ maximum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
= -
y = x² - x +
← is in standard form
with a = 1 and b = - , thus
= -
=
Substitute this value into y
y = ( )² -
(
) +
= -
+
=
Since a > 1 then the vertex is a minimum, thus
minimum value = → A