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jok3333 [9.3K]
3 years ago
6

The graphs below have the same shape. f(x) = x^2 what is the equation of the graph of g(x)?

Mathematics
2 answers:
Yakvenalex [24]3 years ago
6 0

Answer:

Answer: OPTION B

Step-by-step explanation

By definition, the parent function is the simplest form of  a function. In this case, you have the quadratic parent function

As you can see in the graph, the function g(x) is the obtained by shifting the parent function f(x) two units to the right, which is represented with:

Therefore, the equation of the function g(x) is:

kobusy [5.1K]3 years ago
3 0

Answer:

A. g(x)=(x-4)^2

Step-by-step explanation:

The graph of f(x)=x^2 is transformed to obtain the graph of g(x).

We can see from the diagram that, f(x) is shifted 4 units to the right to obtain the graph of g(x).

Therefore g(x)=f(x-4).

Hence the equation of g(x) is

g(x)=(x-4)^2

The correct answer is A.

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The number 2400 is first increased by 30%.The value obtained is next decreased by 20%.Find the final number
kvasek [131]

<em>2400 is increased by 30%.</em>

so,

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<em>this number is decreased by 20%.</em>

so,

3120 - (20/100 * 3120)

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therefore, the final number will be 2496.

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Shalnov [3]

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

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∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

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In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to  n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

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