Question

The function f(x) = x^2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)?

Answer 1

this is how its done:

(x +[the opposite number to left and right translation])`2 + [The up and down translation)

at opposite means: Opposite of 4 is -4 and four units left means in the negative direction for the oppoiste of that is +4

Answer 2

(x +[the opposite number to left and right translation])`2 + [The up and down translation)
(x + [+6] )`2 + {-5}

or \[(x-6)^{2}-5\]

Answer 3

sorry that should be (x+6)

Answer 4

Thanks.!