SOLUTION: Let f(x)= √x. Find g(x), the function that is f(x) reflected over the x-axis and horizontally stretched by a factor of 6

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Question 1187668: Let f(x)= √x. Find g(x), the function that is f(x) reflected over the x-axis and horizontally stretched by a factor of 6
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
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Let f(x)= √x. Find g(x), the function that is f(x) reflected over the x-axis and horizontally stretched by a factor of 6
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To reflect the plot  f(x) = sqrt%28x%29  over the x-axis  means  to change the sign of the function.


So  sqrt%28x%29,  reflected over x-axis is  -sqrt%28x%29.




Next, the function  -sqrt%28x%29,  stretched horizontally by a factor of 6 is   -sqrt%28x%2F6%29.



So, the function  g(x) = -sqrt%28x%2F6%29  is your     ANSWER.


Solved and explained.


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Stretching is the action opposite to compressing.