Question

What is the vertex of y=x2 – 2x + 3?
O (-1,3)
O (1, 2)
O (3, 1)
O (2, -1)

Answer 1

vertex = (1, 2 )

Explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = -
`(b)/(2a)`

y = x² - 2x + 3 ← is in standard form

with a = 1, b = - 2 , then

x = -
`(-2)/(2)` = 1

Substitute x = 1 into the equation for corresponding value of y

y = 1² - 2(1) + 3 = 1 - 2 + 3 = 2

vertex = (1, 2 )

Answer 2

The answer is (1,2) for the vertex
Hope this helps