Problem preview

F-IF.9 Warmup M2-025-A11-V03

Compare function properties across representations, especially quadratic comparisons.

Decide whether an equation, graph, and table represent the same quadratic by comparing extrema and other key features

Problem

Do these representations describe the same function? The equation is \(y=(x+3)^2\), and the graph shows vertex \((3,0)\).

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No, they are not the same function because y=(x+3)² has vertex (-3,0), not (3,0).

No, they are not the same function because y=(x+3)² should have vertex (0,3), not (3,0).

Yes, they match because y=(x+3)² has vertex (3,0), which is the vertex shown on the graph.

Yes, they match because both representations have a vertex with y-coordinate 0, so they describe the same parabola.

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Curriculum context

Course: Math II
Standard: F-IF.9
Category: Functions
Domain: Interpreting Functions
Objective: Compare function properties across representations, especially quadratic comparisons.
Problem type: Decide whether an equation, graph, and table represent the same quadratic by comparing extrema and other key features