please explain to me how come the graph/shape isnt moved to the left side as the equation is negative
https://snag.gy/4AwGSV.jpg
There is the point (0, 3) on y = f(x) .... So we know that f(0) = 3 .
To produce the same y value on y = f(x - 3) , we must input an x value such that x - 3 = 0 .
When x = 3 , y = f(x - 3) = f(3 - 3) = f(0) = 3 ...So on y = f(x - 3) there is the point (3, 3) .
At every point, the x value in y = f(x - 3) must be 3 greater than the x value in y = f(x) in order for both functions to produce the same y value.
There is the point (0, 3) on y = f(x) .... So we know that f(0) = 3 .
To produce the same y value on y = f(x - 3) , we must input an x value such that x - 3 = 0 .
When x = 3 , y = f(x - 3) = f(3 - 3) = f(0) = 3 ...So on y = f(x - 3) there is the point (3, 3) .
At every point, the x value in y = f(x - 3) must be 3 greater than the x value in y = f(x) in order for both functions to produce the same y value.