Final answer:
The graph of y=|x+3| is a V-shaped graph with the vertex at (-3,0), where the graph changes direction. The absolute value symbol creates two line segments, one with a positive slope and one with a negative slope, which reflect at the y-axis for x < -3.
Step-by-step explanation:
The question asks which of the following graphs represents the equation y=[x+3]. This appears to be a typographical error, as the notation for the absolute value is commonly represented by | | rather than [ ]. Assuming the equation is y=|x+3|, this equation represents a V-shaped graph which is the graph of an absolute value function. The graph will have a vertex at the point (-3,0) and will open upwards, with two legs where one leg will have a positive slope and the other leg will have a negative slope. The absolute value graph is a reflection of the y-axis for values of x that make the expression inside the absolute value negative (x < -3).
To graph this equation, we would identify the vertex, and then create a table of values for x that are both greater than and less than -3 to display how the graph behaves around the vertex. The result will show two line segments that meet at the vertex, with one extending upwards to the right and the other extending upwards to the left.