Write the equation that models the function described. Compresses the parent function, y=log_(2)x vertically by a factor of (1)/(3) y=-(1)/(3)+log_(2)x y=log_(2)(x+(1)/(3)) y=(1)/(3)log_(2)x y=(1)/(3)+log_(2)x y=log_(2)(x-(1)/(3))

To model the function that compresses the parent function $y=\log_{2}x$ vertically by a factor of $\frac{1}{3}$, we need to multiply the output of the logarithmic function by $\frac{1}{3}$.<br /><br />The correct equation is:<br />$y=\frac{1}{3}\log_{2}x$<br /><br />This equation represents the compression of the parent function $y=\log_{2}x$ vertically by a factor of $\frac{1}{3}$.