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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

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  • 1. 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