Transformations! Please help work due in 20 minutes! :(

Question

Write an equation for g(x), a translation of f(x) 4 units to the right and 3 units down. Choose the correct letter!

 

 

A. g(x) = f(x + 4) + 3

 

B. g(x) = f(x + 4) − 3

 

C. g(x) = f(x − 4) − 3

 

D. g(x) = f(x − 4) + 3

Answer 1

The answer would be c. Whenever you have a binomial transformation, the value (in this case -4) in that binomial acts oppositely to its sign. Outside of the binomial, or the b value in the equation y=mx+b, (in this case 3) acts according to its sign, which here we see is negative, moving the function down. So -4 would move it to the right four units, and -3 would move it down three units.