Answer :
Answer:
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With vertex at (0,0) and angle of vertex = 90°.
Step-by-step explanation:
|x| is a function whose output depends on whether the input is zero, positive, or negative. If the input is 0 or positive, the output of the function is x. If the input is negative, the output of the function is -x.
0 --> 0
5 --> 5
-1 --> 1
-3.14 --> 3.14
-x² --> x²
You can think of absolute value as the magnitude of the number. -5 and +5 have the same magnitude. For example, if you walk 5 meters forward and then 5 meters backward, you could say that you walked -5 meters after walking +5 meters, but you still walked 5 meters + 5 meters = 10 meters. In fact, the total distance you walked is always 0 or greater. Thus, the absolute value of something tells you its magnitude, which will always be 0 or greater. In the same way, |x| is always 0 or greater, or |anything| for that matter.
When you put a negative in front of the |x|, you are turning all of the positive magnitudes negative. Thus, all the outputs of -|x| will be 0 or negative.
0 --> -0
5 --> -5
-1 --> -1
-3.14 --> -3.14
-x² --> -x²
-5 --> -5
1 --> -1
3.14 --> -3.14
x² --> -x²
Notice that when we input the negatives of our first list into -|x|, we get the same negative output as the original numbers. Generally, when you put -n or n into -|x|, you always get the same number, -n. Graphically, their y-values will be equal, and you will get a graph that is symmetric across the y-axis.