After 12 units downward translation , the function becomes y = 2x - 19
The changes to a function after upward and downward translations are ;
- y = f(x) + a and y = f(x) - a respectively
Using the function given ;
Since , the function is translated downward ; we use the rule ; y = f(x) - a
f(x) = 2x - 7 is translated 12 units downward , we have;
y = 2x - 7 - 12
y = 2x - 19
Hence, the function becomes : y = 2x - 19