# 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.
$$\displaystyle{y}={2}\sqrt{{{x}+{1}}}$$

• Questions are typically answered in as fast as 30 minutes

### Plainmath recommends

• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself.

Yusuf Keller

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