Question

non - linear graphs
graphs
line: y = mx + b
parabola: y = x²
cubic: y = x³
absolute value y = |x|

Explanation:

Step1: Analyze the graph shape

The given graph is a V - shaped graph with its vertex at the origin (or (0, - 1) in the grid, but the general shape is V - shaped) and symmetric about the y - axis.

Step2: Match with the given functions

• The line \(y = mx + b\) is a straight line, not V - shaped.
• The parabola \(y=x^{2}\) is a U - shaped curve, not V - shaped.
• The cubic function \(y = x^{3}\) has a different shape (it passes through the origin and has a point of inflection, not a V - shape).
• The absolute value function \(y=\vert x\vert\) has a V - shaped graph, which matches the given graph.

Answer:

The graph represents the absolute value function \(y = \vert x\vert\) (adjusted for the vertical shift in the grid, but the general shape corresponds to \(y=\vert x\vert\)).