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 :)
Since you already know the solution, you need to substitute every occurrence of x and y with those values: the first equation checks out, because it becomes
It is the only one that has both heads and tails equally on all options, instead of heads heads or tails tails. There aren't any fair coins that are like that
