Graph the function by hand, not by plotting points, y=(x-3)^{2}

Clifland

Clifland

Answered question

2021-08-08

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions, and then applying the appropriate transformations.
y=(x3)2

Answer & Explanation

Margot Mill

Margot Mill

Skilled2021-08-09Added 106 answers

We will start with the graph of the standard/parent function y=x2
When we shift the graph of y=f(x) by k units to the right, we get the graph of y=f(xk)
Therefore, the graph of y=(x3)2 is obtained by shifting the graph of y=x2 by 3 units to the right.
In the graph below:
The blue dashed parabola represents y=x2
The black solid parabola represents y=(x3)2

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