Let f(x) = |x|+ 5

The graph of f(x) is transformed into the graph of g(x) by a translation of 3 units left and a translation of 6 units up. What is the equation for g (x)?​

Respuesta :

Answer:

g(x) = |x + 3| + 11

Step-by-step explanation:

Since we're doing the translation on function f(x), we can substitute x in g(x) as what is in f(x).

That basically means,

f(x + 3) + 6      -- it's x + 3 because we're going to the left. It's counter-intuitive. Positive is left, negative is right.

We can substitute f(x) as the values inside it to simplify.

|x + 3| + 5 + 6

|x + 3| + 11 = g(x)