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F-IF.4 Warmup M2-018-A05-V03

Interpret key graph/table features of quadratic models in context.

Identify where a quadratic model is increasing and decreasing from vertex form

Problem

State where \(h(x)=2(x-6)^{2}-4\) is decreasing and increasing. Use the vertex and sign of the scale factor to justify both intervals, and explain why the factor \(2\) changes width but not the turning input.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-IF.4
Category
Functions
Domain
Interpreting Functions
Objective
Interpret key graph/table features of quadratic models in context.
Problem type
Identify where a quadratic model is increasing and decreasing from vertex form