Problem preview

F-IF.7.a Warmup M2-021-A03-V02

Graph linear and quadratic functions and identify intercepts, maxima, and minima.

List graphing features of a quadratic in vertex form

Problem

Analyze \(y=-2(x+1)^{2}+5\) for graphing. Rewrite the horizontal term to identify \(a\), \(h\), and \(k\), give the vertex and axis, describe opening and width, and evaluate \(x=-2\) and \(x=0\) to verify symmetric points.

Answer choices

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Vertex (−1,5); axis x=−1; opens down and is narrower; symmetric points (−2,3) and (0,3).

Vertex (1,5); axis x=1; opens down and is narrower; symmetric points (0,3) and (2,3).

Vertex (−1,5); axis x=−1; opens down and is narrower; points (−2,3) and (1,−3) are symmetric.

Vertex (−1,5); axis x=−1; opens up and is narrower; symmetric points (−2,7) and (0,7).

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Curriculum context

Course: Math II
Standard: F-IF.7.a
Category: Functions
Domain: Interpreting Functions
Objective: Graph linear and quadratic functions and identify intercepts, maxima, and minima.
Problem type: List graphing features of a quadratic in vertex form