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jenyasd209 [6]
3 years ago
5

What is the equation of y=x^3 with the given transformations? Vertical stretch by a factor of 3, horizontal shift 4 units to the

right, vertical shift 3 units down
Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0
Y=3x^3(x-4)-3
y=a......(x-k)-c
GuDViN [60]3 years ago
8 0

Answer:

y=(1/3)(x^3+4)+3

Step-by-step explanation:

y=x^3

Anything vertical affects the y, anything horizontal affects the x.

Vertical stretch:

3y=x^3

Horizontal shift 4 to the right:

3y=x^3+4

Vertical shift 3 down:

3y-3=x^3+4

Get y isolated.

3y=(x^3+4)+3

y=(1/3)(x^3+4)+3

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GrogVix [38]

We need to have

\dfrac{\partial f}{\partial x}=2x-4y

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Integrate the first PDE with respect to x:

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Differentiate with respect to y to get

\dfrac{\partial f}{\partial y}=-4x+10y-5=-4x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=10y-5

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forsale [732]

Answer:

Step-by-step explanation:780

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Lapatulllka [165]

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Step-by-step explanation:

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3 years ago
Pamelia is 9 years younger than jiri. The sum of their ages is 55. What is Jiris age?
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