# How do you sketch the graph of y=(x-1)^2 and describe the transformation?

Graph the equation of ${x}^{2}$, then shift it to the right by 1.
$a {\left(x - h\right)}^{2} + b$
Remember this formula? It comes with many variations, but the basic idea is the same. $a$ is the vertical stretch of the function; $h$ is the horizontal shift, and $b$ is the vertical shift.
In the equation ${\left(x - 1\right)}^{2}$, we have only one thing to worry about, which is the horizontal shift $h$. Since $h$ is negative, ($- 1$), it is actually a positive shift, to the right. Since there are no other shifts, all you have to do is graph the equation of ${x}^{2}$, then shift it to the right by 1!