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Vertex: y = 3x² + 18x + 9 y - 9 = 3x² + 18x y - 9 = 3(x²) + 3(6x) y - 9 = 3(x² + 6x) y - 9 + 9 = 3(x² + 6x + 9) y = 3(x² + 6x + 9) y = 3(x² + 3x + 3x + 9) y = 3(x(x) + x(3) + 3(x) + 3(3)) y = 3(x(x + 3) + 3(x + 3)) y = 3(x + 3)(x + 3) y = 3(x + 3)² y = 3(x - (-3))² (h, k) = (-3, 0) Axis of Symmetry: [latex]x = -\frac{b}{2a}[/latex] [latex]x = -\frac{18}{2(3)}[/latex] [latex]x = -\frac{18}{6}[/latex] [latex]x = -3[/latex] The axis of symmetry is -3; the vertex is (-3, 0).
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