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#1 2007-09-13 08:29:46

Sharlyne
Guest

Need Help Pleaseeee!!!!

Ok Could someone please help me, ill be more than grateful, heres the question:

1. The function f is defined for all real values of x by f(x )=e^3(x+2)

a) describe geometrically a series of transformations whereby the graph of y = f(x ) can be obtained from the graph of y=e^x

#2 2007-09-13 14:14:52

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

Re: Need Help Pleaseeee!!!!

I'm gonna assume e^(3(x+2)) is what you mean,
but ignore if I'm wrong.
Now just cube e^x for any x, and multiply by 403 or so.
403 is inverse ln of 6.
403.428...  Try it on calculator.


igloo myrtilles fourmis

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#3 2007-09-13 21:11:48

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Need Help Pleaseeee!!!!

First draw y=e^x. Then move it two units to the left.
Finally, enlarge it along the x-axis with a scale factor of 1/3.


Why did the vector cross the road?
It wanted to be normal.

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#4 2007-09-14 03:29:06

rph105
Member
Registered: 2007-09-13
Posts: 1

Re: Need Help Pleaseeee!!!!

mathsyperson wrote:

First draw y=e^x. Then move it two units to the left.
Finally, enlarge it along the x-axis with a scale factor of 1/3.

thank you, but why the scale factor a 1/3

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#5 2007-09-14 05:16:51

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Need Help Pleaseeee!!!!

Because the graph reaches values faster as a result of the function being multiplied by 3.

For example, e^x would equal e when x=1, but e^3x is e at x=1/3.


Why did the vector cross the road?
It wanted to be normal.

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