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stellarik [79]
2 years ago
8

-(1/x+3) +4

Mathematics
1 answer:
nlexa [21]2 years ago
4 0

9514 1404 393

Answer:

  • left 3 units
  • up 4 units
  • shape: lower left image

Step-by-step explanation:

For a parent function f(x), the transformations ...

  g(x) = a×f(x -h) +k

cause ...

  • vertical expansion by 'a', reflection over x-axis if negative
  • right shift by 'h'
  • up shift by 'k'

Here, we have parent function f(x) = 1/x with a=-1, h=-3, k=4. Then the transformations are ...

  horizontal shift left 3 units

  vertical shift up 4 units

  reflection over x-axis, so curves are above-left and below-right of the reference point (Note that the reflection is done <em>before</em> the translation.)

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we know that

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f(x)=a^{x}

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In General:

It is always greater than 0, and never crosses the x-axis

It always intersects the y-axis at y=1

Its Domain is the Real Numbers

Its Range is the Positive Real Numbers

Examples

Let

a=3

1) For x=2

f(2)=3^{2} \\ f(2)=9

2) For x=3

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3) For x=4

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4) For x=5

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f(5)/f(4)=\frac{243}{81} \\ =3

therefore

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3 years ago
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Answer:

-  \frac{56}{25} \: or - 2 \frac{6}{25}  \: or \:  - 2.24

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3 years ago
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c-2y

= -5-2(4)

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= -13

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