Question 1055984: Can you help me in solving this problem:
Starting with the graph of y=2x, write the equation of the graph that results from
(a) reflecting about the line y=4
(b) reflecting about the line x=2
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! (a)
The reflection about  ( a horizontal line )
Must be  units along y-axis from ( 0,0 )
which  goes through
This point is ( 0, 8 )
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The intercept at is
( 2,4 ) , which stays the same for reflected line
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The slope goes through these 2 points and must have
the negative of the slope of the given line.
Now use the general point-slope formula
( note that I get the correct slope,  )
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Here's the plot of the 2 lines:
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(b)
Reflected about
This is a vertical line through ( 2, 0 )
The reflection of ( 0,0 ) would be ( 4,0 )
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intercepts  at ( 2,4 )
The reflection is at the same point ( 2,4 )
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Again, I should end up with for a slope
Use general point-slope formula
This is the same line as in previous problem.
so, it doesn't matter whether you use
of for a reflection.
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Definitely get a 2nd opinion on this, it looks right
to me, but it's a little tricky
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