How do you find the axis of symmetry, graph and find the maximum or minimum value of the function y=x^2+6x+2?

1 Answer

x=-3" " is the axis of symmetry

Explanation:

the vertex of the parabola is at (h, k)=(-3, -7)
by the formula

h=-b/(2a) and k=c-b^2/(4a)

from the given y=x^2+6x+2
a=1, b=6, and c=2

h=-b/(2a)=-6/(2*1)=-3

k=c-b^2/(4a)=2-6^2/(4*1)=2-36/4=2-9=-7

The minimum point is the vertex (-3, -7)
graph{y=x^2+6x+2 [-13.58, 6.42, -8.6, 1.4]}

and clearly x=-3 a vertical line which passes thru (-3, -7) is the line of symmetry.

God bless....I hope the explanation is useful.