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

hexacordoK 2021-08-14 Answered
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.
\(\displaystyle{y}={2}\sqrt{{{x}+{1}}}\)

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Expert Answer

Yusuf Keller
Answered 2021-08-15 Author has 15883 answers

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 \(\displaystyle{y}={2}\sqrt{x}\)
image

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