Transformation Functions

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g(x)=f(x)+k (press for a video if you want extra help)

what does k mean:

if the value plugged in for K is positive, move the given line up how ever many units it says

if the value plugged in for K is negative, move the given line up how ever many units it says

if g(x)=f(x)+6, you would move your given line 6 units up on the graph

if g(x)=f(x)-6, you would move your given line down 6 units on the graph

When g(x)=f(x-y)+k:

if there is a value that is plugged into the brackets with x, then you would move the graph either to the left or to the right

if the y value if negative, move the given line to the right

if the y value is positive, move the given line to the left

if g(x)= f(x-8), you would move the given line to the right 8 units

if g(x)=f(x+8), you would move the given line to the left 8 units