Marsha wants to determine the vertex of the quadratic function f(x) = x^2 – x + 2. What is the function’s vertex? (one-half, seven-quarters)
(one-half, three-halves)
(1, 1)
(1, 3)

Hi there!

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.

351°f

step-by-step explanation: