SOLUTION: Can someone show me how this is done, have a bunch of home work ? just like this one. The graph of f(x) = √x is horizontally stretched by a factor of 0.5, reflected in the

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Question 937573: Can someone show me how this is done, have a bunch of home work ? just like this one.
The graph of f(x) = √x is horizontally stretched by a
factor of 0.5, reflected in the y axis, and shifted two units
to the left.

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
?


Stretch by factor of 0.5 is not stretch but shrink.
HORIZONTAL "stretch" is , and you are interested in the upper branch.

Reflect in the y-axis,


Shift two units to the left,


Simplify this back into y as a function of x.


This is the upper branch of the function.
Clearly understand that the expression within the square root function is NOT a negative value. You have a domain which relies on ,

------the domain.

Aside from that, you can still adjust the equation as .

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