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 parabola opening downward. The standard parabola \( y = x^2 \) opens upward, but this is a reflection (or a quadratic function with a negative leading coefficient, like \( y=-x^2 + bx + c \)). The key feature is the U - shaped (or inverted U - shaped) curve, which is characteristic of a parabola.

Step2: Match with the given equations

Among the given equations: Line (\( y = mx + b \)) is a straight line, Cubic (\( y = x^3 \)) has a different S - shaped curve, Absolute Value (\( y=\vert x\vert \)) has a V - shape. The parabola equation \( y = x^2 \) (or its transformation) matches the curve's shape.

Answer:

The graph represents a Parabola (equation \( y = x^2 \) or its transformation like \( y=-x^2+\dots \)).