Answer:
1. vertex is at point (-3,5)
2.vertex is at point (-1,-6)
3.vertex is at point (3,0)
Step-by-step explanation:
Use y = ax^2+bx+c
Use x = -b/2a
1.
y = 3x^2 + 18x + 32
identify a, b and c
a = 3, b = 18, c = 32
Use x = -b/2a
x = -18/2(3) = -3
substitute back into y = 3x^2 + 18x + 32
y = 3(-3)^2 + 18(-3) + 32 = 5
vertex is at point (-3,5)
2.
y = x^2 + 2x - 5
identify a, b and c
a = 1, b = 2, c = -5
Use x = -b/2a
x = -2/2(1) = -1
substitute back into y = x^2 + 2x - 5
y = (-1)^2 + 2(-1) - 5 = -6
vertex is at point (-1,-6)
3.
y = -3x^2 + 18x - 27
identify a, b and c
a = -3, b = 18, c = -27
Use x = -b/2a
x = -18/2(-3) = 3
substitute back into y = -3x^2 + 18x - 27
y = -3(3)^2 + 18(3) - 27 = 0
vertex is at point (3,0)
