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LenKa [72]
2 years ago
12

What is the equation of the function y=3/x translated 4 units up and three units to the left

Mathematics
1 answer:
denis-greek [22]2 years ago
3 0

Using translation concepts, it is found that the equation of the function after the changes is given by:

y = \frac{3}{x + 3} + 4

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is given by:

y = \frac{3}{x}

Then, these following changes happened:

  • Shift left of 3 units, which means that x -> x + 3.
  • Shift up of 4 units, which means that y -> y + 4.

Hence, the equation of the function after the changes is given by:

y = \frac{3}{x + 3} + 4

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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Consider the first 2 terms of the sequence -6, 18,...
____ [38]

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

5 0
3 years ago
IDK this I really need help with this if anyone wants to help plz do
LUCKY_DIMON [66]
(b+5)(b-7)
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5 0
3 years ago
If 3x−y=12, what is the value of <br>8x/2y?​
Ulleksa [173]

Answer:

3x-y=12

3x-12=y

to find value of

8x/2y

8x/2(3x-12)

8x/6x-24

8x/6x-8x/24

4/3-x/3

4-x/3

Step-by-step explanation:

4 0
2 years ago
se necesitan 4 trabajadores y 9 horas para pintar un cerco si el trabajo debe completarse en 6 horas Cuántos trabajadores se nec
steposvetlana [31]

Answer:

english

Step-by-step explanation:

7 0
3 years ago
given line passes through the points (-4, -3) and( 4, 1) what is the equation in point slope form of the line that's perpendicul
Diano4ka-milaya [45]

Answer:

y= -2x-5

Step-by-step explanation:

First find the gradient of the first line

m =  \frac{y2 - y1}{x2 - x1}

m=

\frac{1 -  - 3}{4 -  - 4}

m=

\frac{4}{8}

m=1/2

From this we can find the gradient of the perpendicular line, or the normal.

m1 × m2 = -1

Replace m1 with 1/2

1/2 × m2 = -1

m2= -2

Substitute values into

y-y1=m (x-x1)

y-3=-2 (x+4)

y-3=-2x -8

y=-2x-5

6 0
3 years ago
Read 2 more answers
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