Y=log3(x+4)

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This is a logarithmic function with a base of 3 and an argument of x+4. The graph of this function would be a curve that approaches but never touches the x-axis as x approaches negative infinity, and approaches but never touches the line y=1 as x approaches positive infinity. The function will have a vertical asymptote at x=-4, where the argument of the logarithm becomes 0.