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 graph is a downward - opening parabola. The general form of a parabola is \(y = ax^{2}+bx + c\). In the given options, the parabola equation is \(y=x^{2}\) (for upward - opening) or a transformed version. The graph here is a parabola (quadratic function) with a negative leading coefficient (since it opens downward, maybe \(y=-x^{2}\) which is a transformation of \(y = x^{2}\)).

Step2: Match with the given equations

Among the given equations: Line (\(y = mx + b\)) is linear, Cubic (\(y=x^{3}\)) has a different shape (S - shaped), Absolute Value (\(y = |x|\)) has a V - shape. The parabola equation \(y = x^{2}\) (or its transformation) matches the shape of the graph (a parabola).

Answer:

Parabola (\(y = x^{2}\) or its transformed version, but among the given options, the parabola equation is the one that matches the graph's shape)