Calculus (3rd Edition)

Published by W. H. Freeman

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 11: 76

Answer

$y=(x-3)^2 -4$

Work Step by Step

We start with $y=x^2$ and apply the given transformations: $y = (x-3)^2$ represents the shifting of the parabola $y=x^2$ by 3 units to the right. Furthermore, shifting down by 4 units is represented by $y=(x-3)^2 -4$. This is the function as drawn in the figure (blue graph in the book).

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