Problem preview

F-BF.3 Warmup M2-016-A14-V02

Analyze transformations of quadratic and absolute-value functions and identify even/odd functions.

Interpret a transformed quadratic or absolute-value function in context

Problem

For $C(x)=3(x-5)^{2}+20~\text{dollars}$ at production level $x\ge~0$, interpret the vertex and coefficient. State the minimum cost and production level, check the domain, and explain precisely how cost changes with squared deviation from $5~\text{units}$.

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The minimum cost is $20 at 3 units, and cost rises by $5 for each squared unit of deviation from 3.

The minimum cost is $5 at 20 units, and cost rises by $3 for each squared unit of deviation from 20.

The minimum cost is $20 at 5 units, and cost rises by $3 for each squared unit of deviation from 5.

The maximum cost is $20 at 5 units, and cost falls by $3 for each squared unit of deviation from 5.

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Curriculum context

Course: Math II
Standard: F-BF.3
Category: Functions
Domain: Building Functions
Objective: Analyze transformations of quadratic and absolute-value functions and identify even/odd functions.
Problem type: Interpret a transformed quadratic or absolute-value function in context