If we take a given function, let's say f(x)=x, then this has the graph we see below - a straight line with a slope of 1 and a y -intercept of 0. If we add to the function f(x)+6=x+6, ...If we take a given function, let's say f(x)=x, then this has the graph we see below - a straight line with a slope of 1 and a y -intercept of 0. If we add to the function f(x)+6=x+6, then this will add 6 to all of the y -values which shifts the graph 6 places up. If we multiply the function by a constant outside of the parentheses: y=2f(x) then this will have the effect of multiplying all of the y values by 2. In the table: