Since you haven't provided the graph, I'll explain each one and you choose the one suiting your given. The parent modulus function is: g(x) = |x| It is centered at the origin and opens upwards. A coefficient inside the modulus |x+k| means that the function is shifted along the x-axis If "k" is positive, the shift will be to the left. If "k" is negative, the shift will be to the right. A coefficient outside the modulus |x| + h means that the function is shifted along the y-axis If "h" is positive, the shift will be upwards. If "h" is negative, the shift will be downwards. Now, let's check each of the options: g(x) = |x+4| - 2 : This function is shifted 4 units to the left and 2 units down. It will be centered at (-4,-2). Check the blue graph in the attachment. g(x) = |x-4| - 2 : This function is shifted 4 units to the right and 2 units down. It will be centered at (4,-2). Check the black graph in the attachment. g(x) = |x-2| - 4 : This function is shifted 2 units to the right and 4 units down. It will be centered at (2,-4). Check the red graph in the attachment. g(x) = |x-2| + 4 : This function is shifted 2 units to the right and 4 units up. It will be centered at (2,4). Check the green graph in the attachment. All 4 graphs are shown in the attached picture. Hope this helps :)
