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Sagot :
The given parent function is,
[tex]g(x)=\sqrt[]{x}[/tex]The transformation of the above g(x) is,
[tex]g^{\prime}(x)=-a\sqrt[]{x+h}\text{ }[/tex]Here, the parent function g(x) is shifted h units to the left .
If a is greater than 1, then g(x) is streched vertically by a units.
Since the function is multiplied by -1 , g(x) is reflected across the x axis.
To shift the graph of g(x) 5 units left, 3 times as tall and reflect across the x axis,
we take k=5, a=3 and put it in g'(x).
[tex]g^{\prime}(x)=-3\sqrt[]{x+5}[/tex]So, the equation of a graph that has been shifted, 5 units left, is 3 times as tall and reflected across the x axis is,
[tex]g^{\prime}(x)=-3\sqrt[]{x+5}[/tex]
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