College Algebra, Chapter 3, 3.5, Section 3.5, Problem 16

Sketch the graph of the function $f(x) = (x + 1)^2$, not by plotting points but by starting with the graph of a standard function and applying transformation.







The graph of $f(x) = (x + 1)^2$ is obtained by shifting the graph of $g(x) = x^2$ one unit to the left.