Problem preview

F-IF.7.a Warmup M2-021-A03-V03

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

List graphing features of a quadratic in vertex form

Problem

Develop graphing features for \(y=0.5(x-4)^{2}-1\). State \(a\), \(h\), \(k\), vertex, and axis, explain why the graph opens upward and is wider, and calculate the symmetric points at \(x=2\) and \(x=6\).

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Vertex (−4,−1); axis x=−4; opens up and is wider; symmetric points (−6,1) and (−2,1).

Vertex (4,−1); axis x=4; opens up and is wider; points (2,1) and (5,−0.5) are symmetric.

Vertex (4,−1); axis x=4; opens up and is wider; symmetric points (2,1) and (6,1).

Vertex (4,−1); axis x=4; opens up with parent width; symmetric points (2,3) and (6,3).

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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