Question

non-linear graphs
graphs
line: y = mx + b
parabola: y = x²
cubic: y = x³
absolute value y = |x|
(graph of a parabola opening downward with vertex at (0,2), and question mark at the bottom)

Explanation:

Step1: Analyze the graph shape

The graph is a parabola opening downward. The standard parabola \( y = x^2 \) opens upward, but this is a vertical reflection (or a quadratic function with a negative leading coefficient, like \( y=-x^2 + c \)).

Step2: Match with given equations

Among the given options (Line: \( y = mx + b \) (linear, straight line), Parabola: \( y = x^2 \) (upward parabola), Cubic: \( y = x^3 \) (S - shaped), Absolute Value: \( y = |x| \) (V - shaped)), the graph's shape is a parabola (quadratic curve), even though it's a downward - opening version (which is a transformation of \( y = x^2 \), like \( y=-x^2+2 \) here, since it has a vertex at (0,2) and opens down). So the closest match is the parabola category.

Answer:

Parabola (corresponding to the equation \( y = x^2 \) in the given list, with the understanding of vertical reflection for the downward opening)