Marshall wants to determine the vertex of the quadratic function f(x)=x2-x+2. What is the function veryex?

vertex = (, )

Step-by-step explanation:

Given a quadratic function in standard form f(x) = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

= -

f(x) = x² - x + 2 ← is in standard form

with a = 1 and b = - 1, thus

= - =

Substitute x = into f(x) for corresponding y- coordinate

f( ) = ( )² - + 2 = - + 2 =

vertex = ( , )