Question

Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?

g(x) = (1.6)x + 5 − 9
g(x) = (1.6)x + 5 + 9
g(x) = (1.6)x − 9 + 5
g(x) = (1.6)x + 9 + 5

Answer 1

Translate right 9: replace x by x − 9. Translate up 5: add 5.

So g(x) = 1.6(x − 9) + 5 = 1.6x − 14.4 + 5 = 1.6x − 9.4.

None of the four given choices equals 1.6x − 9.4.