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#### Description:

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Let $f$ be the function defined by $f(x) = 2x^2 + 4x - 16$. Let $g$ be the function defined by \begin{align} g(x) &= 2(x+1)^2 - 18 . \end{align} Verify...

#### Subjects:

• Mathematics > General
• Education > General

#### Keywords:

Informal Education,Vocational/Professional Development Education,NSDL,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-103,High School,oai:nsdl.org:2200/20130211105401127T,Mathematics,Education

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Update Standards?

#### CCSS.Math.Content.HSF-BF.A.1c: Common Core State Standards for Mathematics

(+) Compose functions.

#### CCSS.Math.Content.HSF-BF.B.3: Common Core State Standards for Mathematics

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
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