Which quadrants and axes does $f (x) = \sqrt{x - 3}$ $f(x)=sqrt(x-3)$ pass through?

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Answer 1 · 2018-01-02T10:44:46

1st quadrant...

Lies on $y$ $y$ - axis

enter image source here

Now sketching $y = \sqrt{x - 3}$ $y = sqrt(x-3)$ : This is just $y = \sqrt{x}$ $y= sqrt(x)$ translated by 3 to the right...

enter image source here

So looking at this image we see that the fucntion $y = \sqrt{x - 3}$ $y = sqrt(x-3)$ lies in the $1st quadrant$ $color(red)("1st quadrant "$

And it $lies on the y axis at (3,0)$ $color(blue)("lies on the y axis at (3,0) " )$

Which quadrants and axes does f(x)=sqrt(x-3)f(x)=√x−3f(x)=sqrt(x-3) pass through?