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Leto [7]
1 year ago
5

Given, f(x) = x²,describe the transformation of f(x) to f (x - 1) + 4 using key features of the graph.

Mathematics
1 answer:
8_murik_8 [283]1 year ago
4 0

The transformation can be written as follows:

The x values will be shifted 1 unit to the right and the y values will be shifted 4 unit upwards.

This is the transformation of

f(x)=x^2\rightarrow(x-1)^2+4_{}

We can see above the transformation graphically.

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The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
Kazeer [188]

Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

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This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

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166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

3 0
3 years ago
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OLga [1]

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Step-by-step explanation:

(4x+2)(x−2)

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Answer:

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Step-by-step explanation:

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