Which equation represents this red graph? ![image: https://i...

1. Recall the general form of an absolute - value function:
- The general form of an absolute - value function is

, where

is the vertex of the V - shaped graph.
- The vertex of the red graph is at the point

. So,

and

.
Then the equation of the function has the form

.

2. Find the value of

:
- We can use a point on the graph to find the value of

. Let's use the

- intercept.
The

- intercept of the red graph is the point where

.
From the graph, when

.
- Substitute

and

into the equation

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Algebra-2