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 curve, symmetric about the y - axis, and has the general shape of a parabola. But the standard parabola \(y = x^{2}\) opens upward. This graph is a reflection of \(y=x^{2}\) over the x - axis, so its equation should be \(y=-x^{2}\), which is still a parabola (a type of quadratic function graph).

Step2: Match with the given options

Among the given options (Line: \(y = mx + b\) (linear, straight line), Parabola: \(y=x^{2}\) (quadratic, parabola shape), Cubic: \(y = x^{3}\) (cubic curve, S - shaped), Absolute Value: \(y=\vert x\vert\) (V - shaped)), the graph's shape is that of a parabola (even though it's a downward - opening one, it's still a parabola).

Answer:

Parabola: \(y = x^{2}\) (Note: The actual equation of the given graph is \(y=-x^{2}\), but in terms of the type of graph (parabola), it matches the parabola category among the given options.)