Answer:
It looks like you're trying to graph an absolute value function. To graph an absolute value function, you need to consider the behavior of the function for both positive and negative inputs.
The absolute value function is defined as:
f(x) = |x| = {
x if x ≥ 0
-x if x < 0
So, to graph the function y = |x|, you can start by plotting the points for positive values of x:
*x |x|*
2 |2|
1 |1|
0 |0|
And then plot the points for negative values of x:
*x |x|*
-1 |1|
-2 |2|
-3 |3|
You can see that the graph is a V-shaped curve that opens upwards.
Now, to graph the function y = |x - [?]|, you need to fill in the blank with a value. Let's say the value is 2. Then, the function becomes:
y = |x - 2|
You can graph this function by plotting the points for positive and negative values of x, just like before.
*x |x - 2|*
4 |2|
3 |1|
2 |0|
1 |-1|
0 |-2|
-1 |-3|
-2 |-4|
The graph is a V-shaped curve that opens upwards, but it's shifted to the right by 2 units.
I hope this helps! Let me know if you have any other questions.