which equation describes the graph a) y=-2|x|-1 b) y=2|x|+1 c) y=-2|x|+1 d) y=2|x|-1
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Answer:
D: y=2|x|-1
Step-by-step explanation:
We need to find the equation which describes the graph
The general form of equation for this graph is y=|x|
The graph opens upwards so its positive
We cannot choose option (a) and option (d) because it has -2
Lets check with option b and d
In the graph, the y values starts at -1. (0,-1) is the vertex.
Lets plug in (0,-1) and check with option b
y=2|x|+1
-1= 2|0|+1
-1=+1, its false.
Lets check with option (d)
y=2|x|-1
-1= 2|0|-1
-1=-1, its true
Option D is the answer