4x Sven is going to use his calculator to graph y=log(x-4)+5 Before he does so he predicts what will happen to the parent function. Which statement correctly identifies the transformations? A The parent function will be moved to the left 4 units and up 5 units B The parent function will be moved to the right 4 units and up 5 units C The parent function will be moved to the right 4 units and down 5 units D The parent function will be moved to the left 4 units and down 5 units

To determine the transformations of the parent function $y = \log(x)$, we need to analyze the given function $y = \log(x-4) + 5$.<br /><br />Step 1: Identify the horizontal shift.<br />The term $(x-4)$ inside the horizontal shift. Since it is subtracted from $x$, it means the shift is to the right by 4 units.<br /><br />Step 2: Identify the vertical shift.<br />The term $+5$ outside the logarithm indicates a vertical shift. Since it is added to the logarithm, it means the shift is upwards by 5 units.<br /><br />Therefore, the correct statement that identifies the transformations is:<br />B. The parent function will be moved to the right 4 units and up 5 units.