Question

The graph of f(x) = |x| has been translated left 2 units and up 1 unit. If no other transformations of the function have occurred, which point lies on the new graph?

(–4, 2)
(–3, 1)
( –2, 5)
( –1, 2)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The translation of the original function f(x) = |x| left 2 units and up 1 unit results in the function g(x) = |x + 2| + 1.

Substitute x = -4 into the new function:

g(-4) = |-4 + 2| + 1
g(-4) = |-2| + 1
g(-4) = 2 + 1
g(-4) = 3

Therefore, the point (-4, 3) lies on the new graph of g(x) = |x + 2| + 1.

None of the given points is on the new graph.