You can put this solution on YOUR website! factoring x^2 + 6x + 5, we arrive at:
y = (x+1)(x+5)
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This means the intercepts will be -1 and -5
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The vertex is at x= -b/2a = -6/2 = -3.
When x = -3, y = -4, which is the point: (-3,-4).
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By inspecting the graph, we can see this fits.