# Graph the function by hand, not by plotting points, but

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.
$y=2\sqrt{x+1}$
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We will start with the graph of the standard/parent function $y=\sqrt{x}$
The graph of $y=k\cdot f\left(x\right)$ is obtained by vertically stretching the graph of $y=f\left(x\right)$ by a factor of k.
Therefore, if we vertically stretch the graph of $y=\sqrt{x}$ by a factor of 2, we will get the graph of $y=2\sqrt{x}$
In the graph below:
The blue dashed curve represents $y=\sqrt{x}$
The red solid curve represents $y=2\sqrt{x}$