Question

What is the vertex of y = x2 + 2x +2
O (1,-1)
O (2,-2)
O (1, 2)
0 (-1, 1)

Answer 1

vertex = (- 1, 1 )

Explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

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

y = x² + 2x + 2 ← is in standard form

with a = 1 and b = 2 , then

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

substitute x = - 1 into the equation for y- coordinate of vertex

y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1

vertex = (- 1, 1 )