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July 10, 2025, 04:56:24 pm

Author Topic: onur369's Methods Question Thread :)  (Read 30587 times)  Share 

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luffy

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Re: onur369's Methods Question Thread :)
« Reply #60 on: March 11, 2011, 08:13:54 pm »
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Got caught up with a stupid question, probably my most weakest area.

The equation of the image of y=x^2 under a shift to the left of 4 units, a dilation of by a factor of 2 in the y-direction and a shift downwards of 3 units is:
2y=(x+4)^2 -3
       or
y=2(x+4)^2 -3

Actually, the answer is:

--> A dilation "in the y-direction" is the same as a dilation "from the x-axis".


luffy

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Re: onur369's Methods Question Thread :)
« Reply #61 on: March 11, 2011, 08:21:01 pm »
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When you say log3(x), are you saying ? If so, here is my solution:









« Last Edit: March 11, 2011, 08:22:35 pm by luffy »

onur369

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Re: onur369's Methods Question Thread :)
« Reply #62 on: March 11, 2011, 08:23:17 pm »
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thanks a tonne :D
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Halil

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Re: onur369's Methods Question Thread :)
« Reply #63 on: March 11, 2011, 08:36:47 pm »
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luffy is a gun
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luken93

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Re: onur369's Methods Question Thread :)
« Reply #64 on: March 11, 2011, 08:50:35 pm »
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The equation of the image of y=x^2
(x,y)
(x-4, y) a shift to the left of 4 units
(x-4, 2y) a dilation of by a factor of 2 in the y-direction
(x-4, 2y-3) a shift downwards of 3 units is:

x' = x-4   =>   x = x'+4
y' = 2y-3   =>   y=(y'+3)/2

(y + 3)/2 = (x - 4)^2
y - 3 = 2(x - 4)^2
y = 2(x - 4)^2 + 3

EDIT: Woops, didnt even see luffy's response
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Pandabear

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Re: onur369's Methods Question Thread :)
« Reply #65 on: March 11, 2011, 09:05:16 pm »
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2^x=-8 and 2^x=4

is the answer x=-3 , x=2

or x=3 ,x=2

m@tty

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Re: onur369's Methods Question Thread :)
« Reply #66 on: March 11, 2011, 09:11:18 pm »
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there is no real x such that 2^x=-8

ie.

However, if you mean -2^x=-8, then x=3
« Last Edit: March 11, 2011, 09:13:05 pm by m@tty »
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luffy

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Re: onur369's Methods Question Thread :)
« Reply #67 on: March 11, 2011, 09:24:28 pm »
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2^x=-8 and 2^x=4

is the answer x=-3 , x=2

or x=3 ,x=2
Think about your question logically. Sub in any value of x, for 2^x. For example, if x = 2,

If you sub in x = 3
If you sub in x = -3,
you will get
                  
Now, if you look at the values of x that i subbed in, did you see any negative numbers? No, there were no negative answers. Therefore, for 2^x = -8, there are no numbers of x that will make 2^x = a negative number. Thus, for 2^x = -8, x has no solutions.

For 2^x = 4, you could use logarithms; however, its quite trivial to see that 2^2 = 4, meaning that x = 2.
« Last Edit: March 11, 2011, 09:28:44 pm by luffy »

onur369

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Re: onur369's Methods Question Thread :)
« Reply #68 on: March 15, 2011, 10:10:14 pm »
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Hey guys, got caught up with another question.
I attached it below.
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Re: onur369's Methods Question Thread :)
« Reply #69 on: March 15, 2011, 10:19:12 pm »
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Hey guys, got caught up with another question.
I attached it below.

i bet 10 buxs the answer is 2x, lol


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nacho

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Re: onur369's Methods Question Thread :)
« Reply #70 on: March 15, 2011, 10:24:07 pm »
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Yea, D.
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luken93

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Re: onur369's Methods Question Thread :)
« Reply #71 on: March 15, 2011, 10:24:28 pm »
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AFAIK, there is no method besides trial and error (most of the time)

Long story short, if you can see the trends it leads you to 2x, because 2(x + y)/2 = x + y
Similarly, (2x + 2y)/2 = x + y
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onur369

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Re: onur369's Methods Question Thread :)
« Reply #72 on: March 15, 2011, 10:25:01 pm »
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Hey guys, got caught up with another question.
I attached it below.

i bet 10 buxs the answer is 2x, lol



No shit sherlock if you check BOB.
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Re: onur369's Methods Question Thread :)
« Reply #73 on: March 15, 2011, 10:25:10 pm »
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Yea, D.


which lanuage is this ??

Quote
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The radio crackered "No, John. You are the demons"
And then John was a zombie.

"I am the city of knowledge and Ali is its gate" - Muhammed (pbuh&c)


"The most merciful person is the one who forgives when he is able to revenge"  - Imam Husayn (AS)

"To me, death is nothing but happiness and living under tyrants is nothing but living in a hell." - Imam Husayn (AS)

"Whoever sorts out a problem of a believer, God sorts out his difficulties of this world and the here-after." - Imam Husayn (AS)

"Seek Knowledge, even if it is as far as China" - Imam Ali

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Re: onur369's Methods Question Thread :)
« Reply #74 on: March 15, 2011, 10:29:38 pm »
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Hey guys, got caught up with another question.
I attached it below.

i bet 10 buxs the answer is 2x, lol



No shit sherlock if you check BOB.

nah i checked abbas actually. lol :p

hey idk how to solve it either, wth is it./..

"I am the city of knowledge and Ali is its gate" - Muhammed (pbuh&c)


"The most merciful person is the one who forgives when he is able to revenge"  - Imam Husayn (AS)

"To me, death is nothing but happiness and living under tyrants is nothing but living in a hell." - Imam Husayn (AS)

"Whoever sorts out a problem of a believer, God sorts out his difficulties of this world and the here-after." - Imam Husayn (AS)

"Seek Knowledge, even if it is as far as China" - Imam Ali