onur369's Methods Question Thread :)

[luffy]

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]

When you say log3(x), are you saying ? If so, here is my solution:

[onur369]

thanks a tonne

[Halil]

luffy is a gun

[luken93]

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

[Pandabear]

2^x=-8 and 2^x=4

is the answer x=-3 , x=2

or x=3 ,x=2

[m@tty]

there is no real x such that 2^x=-8

ie.

However, if you mean -2^x=-8, then x=3

[luffy]

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.

[onur369]

Hey guys, got caught up with another question.
I attached it below.

[Respect]

Hey guys, got caught up with another question.
I attached it below.

i bet 10 buxs the answer is 2x, lol

[nacho]

Yea, D.

[luken93]

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

[onur369]

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.

[Respect]

Yea, D.

which lanuage is this ??

Quote
"No! I must kill the demons" he shouted.
The radio crackered "No, John. You are the demons"
And then John was a zombie.

[Respect]

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./..