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QUESTION IMAGE

non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …

Question

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

Explanation:

Step1: Identify the graph type

The given graph is a U - shaped curve, which is the characteristic shape of a parabola.

Step2: Match with the formula

Among the given formulas, the formula for a parabola is \(y = x^{2}\). So we check the shape of the graph against the formula of the parabola. The graph's shape (symmetric about the y - axis, U - shaped) matches the graph of \(y=x^{2}\).

Answer:

The graph represents the function \(y = x^{2}\) (Parabola)