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31) If I begin with the function f(x)=x² and I shift it 3 units left and 6 units down, write the equation for the transformed graph.

31) If I begin with the function f(x)=x² and I shift it 3 units left and 6 units down, write the equation for the transformed graph.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Certainly! Here's a transcription suitable for an educational website: --- ### Algebra and Calculus: Transformation and Conversion Problems **Problem 31:** "If I begin with the function \( f(x) = x^2 \) and shift it 3 units left and 6 units down, write the equation for the transformed graph." **Problem 32:** "Convert \( 5^x = y \) to a logarithmic equation." **Problem 33:** "Convert \( \log 3000 = z \) to an exponential function." --- These problems are designed to test understanding of function transformations and conversions between exponential and logarithmic forms.
Transcribed Image Text:Certainly! Here's a transcription suitable for an educational website: --- ### Algebra and Calculus: Transformation and Conversion Problems **Problem 31:** "If I begin with the function \( f(x) = x^2 \) and shift it 3 units left and 6 units down, write the equation for the transformed graph." **Problem 32:** "Convert \( 5^x = y \) to a logarithmic equation." **Problem 33:** "Convert \( \log 3000 = z \) to an exponential function." --- These problems are designed to test understanding of function transformations and conversions between exponential and logarithmic forms.
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