Question

Graph the functions f(x) = |x| and h(x) = |x + 2). Describe what happens to the graph of h(x) when compared to the graph of f(x). In other words, does the graph of h(x) move up, down, left, or right in relation to the graph of f(x)?

Answer 1

The graph of h(x) = |x + 2| moves to the left compared to the graph of f(x) = |x|.

Step-by-step explanation:

To graph the functions f(x) = |x| and h(x) = |x + 2| and compare them, we can start by understanding the basic shape of the function f(x) = |x|. This is a V-shaped graph that opens upward, originating from the point (0,0). The graph of h(x) = |x + 2| is the same as the graph of f(x) = |x|, but shifted 2 units to the left. So, the graph of h(x) moves to the left in relation to the graph of f(x).