Use integer values of x from –3 to 3 to graph the equation y = –|–x|.
what is the answer to it
To graph the equation y = -|-x|, we need to substitute different values of x and find the corresponding y-values. Let's start by substituting the given integer values of x from -3 to 3:
When x = -3:
y = -|-(-3)| = -|3| = -3
When x = -2:
y = -|-(-2)| = -|2| = -2
When x = -1:
y = -|-(-1)| = -|1| = -1
When x = 0:
y = -|-0| = -|0| = 0
When x = 1:
y = -|-1| = -|1| = -1
When x = 2:
y = -|-2| = -|2| = -2
When x = 3:
y = -|-3| = -|3| = -3
Now, we have the following coordinates:
(-3, -3), (-2, -2), (-1, -1), (0, 0), (1, -1), (2, -2), (3, -3)
Plotting these points on a graph, we get the graph of y = -|-x| as shown:
^
|
3 |- * * *
|
2 |- * *
|
1 |- * *
|
0 |* *
|
-1 | * *
|
-2 | *
|
-3 |* *
|
----------------------------->
-3 -2 -1 0 1 2 3 (x-axis)
This graph consists of a series of horizontal line segments at y = -3, -2, -1, 0, -1, -2, and -3 for each corresponding value of x.
I will do one of the values, you do the rest
x = -2
y = -|-2|
= - 2
by the way, all your y values will be negative