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3 years ago

Write an equation for the vertical translation y=-2/9 |x| -7; 1 units down

Mathematics

2 answers:

klasskru [66]3 years ago

8 0

Answer:

y = -2/9 |X| - 8

Step-by-step explanation:

I'm not certain whether the -7 is part of the |X| or it's just out of the equation. But shifting an equation up or down is very intuitive.

If you want to move an equation up a certain unit, you just add that many units (positive) onto the end of an equation. The same goes for moving a unit down, where you subtract that many units you want to go down.

natima [27]3 years ago

8 0

Answer:

y=-2/9 |x| -8

Step-by-step explanation:

y = f(x) + C C < 0 moves it down

y=-2/9 |x| -7 Shift down 1 by subtracting 1

y=-2/9 |x| -7-1

y=-2/9 |x| -8

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iragen [17]

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Step-by-step explanation:

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4 years ago

Read 2 more answers

Let f(x)=3x-6. Is f one-to-one? If it is find f^-1, if not explain why.

beks73 [17]

Answer: Yes, $\bold{f^{-1}(x)=\dfrac{x+6}{3}}$

Step-by-step explanation:

f(x) = 3x - 6 is a line so it is a function because

it passes the vertical line test

and the horizontal line test

To find the inverse, swap the x's and y's and solve for y

$y=3x-6\\\\\\\text{Swap the x's and y's:}\qquad x=3y-6\\\\\text{Add 6 to both sides:}\qquad x+6=3y\\\\\text{Divide both sides by 3:}\qquad \dfrac{x+6}{3}=y$

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3 years ago

A cylindrical paint can has a capacity of one gallon. for another size can, the height is doubled. what is the capacity of the l

skelet666 [1.2K]

We know that

[volume of a cylindrical paint can 1]=[area of the base]*h
so
[area of the base]*h=1 gallon

if the height is doubled
[volume of a cylindrical paint can 2]=[area of the base]*(2*h)
[volume of a cylindrical paint can 2]=2*{[area of the base]*h)}
[volume of a cylindrical paint can 2]=2*[volume of a cylindrical paint can 1]
[volume of a cylindrical paint can 2]=2*[1 gallon]-----> 2 gallons

the answer is
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3 years ago