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  3. ZuAI AP College Board Pre-Calculus
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Transformations of Functions

Next Topic - Function Model Selection and Assumption Articulation
Study Guide Overview

This study guide covers transformations of functions in AP Precalculus, including additive transformations (translations) and multiplicative transformations (dilations and reflections). It explains vertical and horizontal shifts, stretches, shrinks, and reflections, along with how to combine these transformations. The guide also discusses how transformations affect the domain and range of functions and provides practice questions and exam tips focusing on identifying transformations, applying them to functions, and understanding their impact on domain and range.

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Previous Topic - Equivalent Representations of Polynomial and Rational ExpressionsNext Topic - Function Model Selection and Assumption Articulation

Question 1 of 13

If f(x)=x2f(x) = x^2f(x)=x2, what is the function g(x)g(x)g(x) if the graph of f(x)f(x)f(x) is shifted 3 units upwards? 🚀

g(x)=x2−3g(x) = x^2 - 3g(x)=x2−3

g(x)=(x−3)2g(x) = (x-3)^2g(x)=(x−3)2

g(x)=x2+3g(x) = x^2 + 3g(x)=x2+3

g(x)=(x+3)2g(x) = (x+3)^2g(x)=(x+3)2