0
y = 4x2 + 6 or
y = 4x2 + 0x + 6, where a = 4, b = 0 and c = 6
x-coordinate of the vertex = -b/2a = -0/2(4) = 0
y-coordinate of the vertex = 4(02) + 6 = 6
vertex is (0, 6)
(Or you can say: Since the vertex of y = x is (0, 0), and this graph is shifted 6 units upward in the y-axis, then the vertex of y = x + 6 would be (0, 0 + 6) or (0, 6)
Substitute 0 for y in order to find the roots.
y = 4x2 + 6
0 = 4x2 + 6
0 - 6 = 4x2 + 6 - 6
-6 = 4x2
-6/4 = 4x2/4
- 6/4 = x2
± √(-6/4) = x
± [√(6/4)]i = x x = [(1/2)√6]i or x = - [(1/2)√6]i
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