Question

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

Answer 1

D: y=2|x|-1

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