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How would you transform the graph of y= f (x ) to obtain the graph of y= 3f (x 2) +5 ? If (7, 3) is a point on the graph of y= f (x ) , what would be the corresponding point on the graph of y=3f (x 2)+ 5 ?
 one year ago
 one year ago
How would you transform the graph of y= f (x ) to obtain the graph of y= 3f (x 2) +5 ? If (7, 3) is a point on the graph of y= f (x ) , what would be the corresponding point on the graph of y=3f (x 2)+ 5 ?
 one year ago
 one year ago

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JakeV8Best ResponseYou've already chosen the best response.2
There are three aspects to the transformation. Think first about that "3" in front of the f(x2)... and just think for a minute as if was just 3f(x). So if that was the only transformation, it would take the original function f(x), and it would make it 3 times larger for every x input, but it would also flip it... so any negative values in f(x) would become positive (and 3 times larger) in 3f(x).
 one year ago

JakeV8Best ResponseYou've already chosen the best response.2
Next, think about what the (x2) does as the function input in comparison to the original function, f(x). f(x) gives some value for any input x. f(x2) will take values for x that are 2 larger and then return the same f. In other words, say f(x) = 10 when x=0... f(0) = 10 Then in the transformed function f(x2), it will also be equal 10, but it will shift over to be equal 10 when x = 2. So f(x2) is a transformation that shifts the function right by 2 units compared with f(x)
 one year ago

JakeV8Best ResponseYou've already chosen the best response.2
So, with those two parts of the transformation, you can say that 3f(x2) transforms f(x) by making it 3 times larger, flipping it across the xaxis, and shifting it all right by 2 units. The last transformation adds 5 to everything else. Can you see what shift will occur as a result?
 one year ago

magepker728Best ResponseYou've already chosen the best response.0
to be honest i didn't get it.
 one year ago

piscez.inBest ResponseYou've already chosen the best response.0
1)shift the function to the right by 2 points, 2) flip the graph down, around x axis. 3) Re calibrate y axis in such a way that 3 units in the previous graph is 1 unit in the present graph 4) Shift the resulting graph up by 5 points
 one year ago

piscez.inBest ResponseYou've already chosen the best response.0
dw:1351534597224:dw
 one year ago
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