Please, help; how do you determine if there is a stretch or compression in a function without the equation
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Please, help; how do you determine if there is a stretch or compression in a function without the equation

[From: ] [author: ] [Date: 11-09-14] [Hit: ]
Thats really the only thing I cant understand, can you show me an example by posting a link to show me?? Thanks in advance.resultinggraph up { B > 0 }or down{ B ,if y = cos x and y1 = 3 cos ( 2x ) - 5 you compress the original graph horizontally 1st ,......
Hi, we are given a graph. say it is y = 6 (x-3)^2 +5 When I look at the graph, I understand how to find out the 3 and 5 but how would I determine that theres a vertical stretch by a factor of 6, when looking at the graph. And, when you explain to me how it works, is it the same for the rest of the types of graphs, like y = |x| for ex? Thats really the only thing I can't understand, can you show me an example by posting a link to show me?? Thanks in advance.

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you are assuming that you recognize a BASIC function

thus if y = f(x) is the basic and you now have y1 = A f(x) then

if | A | > 1 you have a vertical stretch while if | A | < 1 then a vertical compression

if y2 = f( a x ) and | a | > 1 you have a horizontal compression

while | a | < 1 means horizontal stretch


if y3 = A f(w x) + B then you can have vertical stretch / compression as well

horizontal stretch / compressions and the B means taking the

resulting graph up { B > 0 } or down { B , 0 }

if y = cos x and y1 = 3 cos ( 2x ) - 5 you compress the original graph horizontally 1st ,

then stretch this result by 3 in the vertical direction and finally

dropped the last graph 5 units
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