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

1 Answer
Jan 2, 2018

1st quadrant...

Lies on #y# - axis

Explanation:

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

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

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