IDNLearn.com is the perfect place to get answers, share knowledge, and learn new things. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.
Answer:
vertex = (- 1, 1 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 2x + 2 ← is in standard form
with a = 1 and b = 2 , then
x = - [tex]\frac{2}{2}[/tex] = - 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 )