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F-BF.3 Warmup M1-018-A07-V04

Analyze graph transformations caused by f(x)+k, kf(x), f(kx), and f(x+k); identify even/odd functions.

Write a transformed function from a verbal transformation description

Problem

Write the transformed function \(g(x)\) after reflecting the parent \(f(x)\) across the \(y\text{-}\text{axis}\) and shifting it down \(2~\text{units}\).

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-BF.3
Category
Functions
Domain
Building Functions
Objective
Analyze graph transformations caused by f(x)+k, kf(x), f(kx), and f(x+k); identify even/odd functions.
Problem type
Write a transformed function from a verbal transformation description