If y x - 6 were changed to y x plus 8 how would the graph of the new function compare with the first one?

If the function changes from ( y = x - 6 ) to ( y = x + 8 ), the new graph will be a vertical shift upward. Specifically, the entire graph will move up by 14 units, since ( 8 - (-6) = 14 ). The slope remains the same (1), so the lines will be parallel, but the new line will intersect the y-axis at ( y = 8 ) instead of ( y = -6 ).