Write the equation that models the function described. Shifts the parent function, y=log_(0.5)x 3 units up y=log_(0.5)(x-3) y=3+log_(0.5)x y=3log_(0.5)x y=log_(0.5)(x+3) y=-3+log_(0.5)x

## Step 1The problem involves the transformation of a logarithmic function. The parent function given is . The task is to shift this function 3 units up.## Step 2The general form of a logarithmic function is \(y = \log_b(x - h) + k\), where and represent the horizontal and vertical shifts respectively.## Step 3In this case, the function is shifted 3 units up, which means . There is no horizontal shift, so .## Step 4Substituting and into the general form of the logarithmic function, we get \(y = \log_{0.5}(x - 0) + 3\), which simplifies to .