Question 308363
x-intercepts are when f(x)=0


0 = x^2 + 6x + 4


c term should be 9 for a perfect square (half of the b coefficient, squared)


adding 5 ___ 5 = x^2 + 6x + 9 = (x + 3)^2


taking square root ___ ±√5 = x + 3 ___ -3±√5 = x


axis of symmetry ___ x = -b / (2a) ___ x = -3


vertex is on the axis of symmetry ___ f(-3) = (-3)^2 + 6(-3) + 4 = -5


vertex ___ (-3, -5)