19)The vertex of the parabola y=x^2+3x+2 lies in Quadrant
1. I
2. II
3. III
4. IV

option 3

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 = -

y = x² + 3x + 2 ← is in standard form

with a = 1, b = 3 , then

x = -

Substitute this value into the equation for corresponding y- coordinate

y = (- )² + 3( - ) + 2 = - + 2 = -

vertex = ( - , - ) ← which is in the third quadrant