9mirror image
How to decide if a graph is symmetric abt a line or a point?
Example when can we say that a graph is symmetric about the line 2x+y=2?
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12 Answers
1If a particular graph has concavity or convexity, then its mirror image will be viceversa??
62no sri .. that may not be true always
like the reflection of y=x2 along the y axis!
9for symmetry abt a pt (h,k)
if x1+x2/2=h
then f(x1)+f(x2)/2=k
for abt a line
every pt has its mirror image abt line also on the curve
3if we rotate the graph abt the line 2y=x+2 abt 180degrees.
Case 1:it is symmetry when obtain the same graph
Case 2:it is not symmetry when we dont obtain the same graph.
we wont get a function which is symmetry abt x axis.
1if u are to verify y=mx+c...
and F(x)
for any two 'a' and 'b'
such that {F(b)-F(a)}/{b-a} =-1/m
then
F({a+b}/2) = m(a+b)/2 +c
if this holds true i guess we'l be done..
cheers!!
62@sankara.. celestine is saying that for point symmetry, the point should be the mid point of the points that we want.. hence you just have to check the mid point...
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