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Question # 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=1-2sqrt{x}+3

Transformations of functions
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.
$$\displaystyle{y}={1}-{2}\sqrt{{{x}}}+{3}$$ 2021-01-08
To plot the graph of the given function we will use the graph of $$\displaystyle{y}=\sqrt{{{x}}}.$$ We take the following steps. First we shift the graph of VT horizontally by 3 units to the left.This gives us the graph of m Next, we stretch the graph vertically by a factor of 2.After that, we reﬂect the graph around the x-axis.
Finally, we shift the graph of
$$\displaystyle-{2}\sqrt{{{x}+{3}}}$$
1 unit upward and obtain the graph of
$$\displaystyle{y}={1}-{2}\sqrt{{{x}+{3}}}$$
The hand-sketched graph is given bellow. Also we provide the graph obtained by using CAS. 