Question

4. A line with the preimage equation y = 12x is translated 4 units to the right along the x-axis and 25 units up along the y-axis. Which is the equation of the image line?

Answer 1

(d) y' = 12x -23

Explanation:

The transformation that translates function y = f(x) by h units right and k units up is ...

y' = f(x -h) +k

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Your function is ...

y = 12x

and you want to translate it by (h, k) = (4, 25). That makes it ...

y' = 12(x -4) +25 = 12x -48 +25

y' = 12x -23