write an equation for the transformation of the graph of y f

write an equation for the transformation of the graph of y =f(x) translated 2 units left, 7 units down

Solution

y = f(x)

translated 2 units left, 7 units down

if translation is to the left we add inside the function

so it becomes y = f(x+2)

and if translation is down we subtract outside the function

therefore, function becomes

y = f(x+2) - 7