Question

The graph of $y=(x-1{)}^2+2$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$y=(x-1{)}^2+2$ can be plotted by using horizontal shifting first and then using vertical shifting or vice-versa.

Here, we will plot the graph of $y=(x-1{)}^2+2$ by using horizontal shifting first and then using vertical shifting.

Graph of $y=x^2$ is plotted as


Now, $y=(x-1{)}^2$ is plotted by shifting the graph of $y=x^2$ through $1$ unit towards the right along the $x$-axis.


Finally, $y=(x-1{)}^2+2$ is plotted by shifting the graph of $y=(x-1{)}^2$ through $2$ units upward along the $y$-axis.