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GenaCL600 [577]
2 years ago
14

Pleaaasseee help!!! BRAINLIEST FOR CORRECT ANSWER!! What is the transformation rule for a translation 3 units right?

Mathematics
1 answer:
garri49 [273]2 years ago
4 0

Answer:

Rule: replace x by x - a where a is the number of units that you want to move right. a must be greater than 0. x - - a  would move left.

Step-by-step explanation:

You want f(x) to move 3 units to the right.

That would mean that  x would be replaced by x - 3.  Just to be sure let's try it.

  • Suppose you have f(x) = x^2 + 6x + 5       It is graphed as the red line
  • Now suppose you want to move 3 units right.
  • It would replaced like f(x - 3) = (x - 3)^2 + 6(x - 3) + 5 which is the blue line
  • Notice nothing else is changed. The blue line looks exactly like the red line except that it is shifted 3 units to the right.

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Let $f(x)$ be a function defined for all positive real numbers satisfying the conditions $f(x) > 0$ for all $x > 0$ and $f
algol [13]
Suppose we choose x=1 and y=\dfrac12. Then

f(x-y)=\sqrt{f(xy)+1}\implies f\left(\dfrac12\right)=\sqrt{f\left(\dfrac12\right)+1}\implies f\left(\dfrac12\right)=\dfrac{1+\sqrt5}2


Now suppose we choose x,y such that

\begin{cases}x-y=\dfrac12\\\\xy=2009\end{cases}


where we pick the solution for this system such that x>y>0. Then we find

\dfrac{1+\sqrt5}2=\sqrt{f(2009)+1}\implies f(2009)=\dfrac{1+\sqrt5}2

Note that you can always find a solution to the system above that satisfies x>y>0 as long as x>\dfrac12. What this means is that you can always find the value of f(x) as a (constant) function of f\left(\dfrac12\right).
3 0
3 years ago
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When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.
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Answer:

Hope this is correct

5 0
3 years ago
A cylindrical water bottle has a diameter of 5 in. and a height of 9 in. What is the capacity of the water bottle in cubic inche
VikaD [51]
The answer will be 388.6 because you will use the formula V=pi.r^2.h.
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3 0
3 years ago
I will mark either the best or the first answer brainliest.
posledela

Answer:

11.x=16 12.x=37

Step-by-step explanation:

11.

20^2-12^2=x^2

256=x^2

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12.

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y^2+35^2=x^2

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2 years ago
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PLEASE HELP YOU CAN HAVE BRAINLIEST!!!
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Answer: 4

Step-by-step explanation:

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