{ "size": "1024x1024", "prompt": "A one-dimensional sketch of two absolute value functions. The first function f(x) = |x - 3| has a V-shaped graph starting at x = 3 and pointing upwards. The second function g(x) = |x + 4| also has a V-shaped graph, but it starts at x = -4 and also points upwards. Both graphs should be displayed on a single number line (one dimension) showing the symmetry around their respective vertices. No 2D or 3D axes, just the V-shaped graphs over a simple number line." }It seems like I can’t generate any more images right now. Please try again later.

If you still need help understanding the graphs or would like me to describe them further, feel free to ask!

Here are 5 related questions:

1. How do you calculate the vertex of an absolute value function?
2. What is the general shape of an absolute value graph?
3. How do you translate an absolute value graph horizontally?
4. How does the graph of |x - a| differ from |x + b|?
5. Can absolute value functions have negative outputs?

Tip: The vertex of the graph for an absolute value function of the form |x - a| is always at the point (a, 0) on the x-axis!