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3 years ago

Identify the transformation that occurs to create the graph of g(x). g(x)=f(x)-7

Mathematics

1 answer:

Aleks [24]3 years ago

7 0

Answer:

g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).

Step-by-step explanation:

We are given that

$g(x)=f(x)-7$

We have to identify the transformation that occurs to create the graph of g(x).

To identify the transformation that occurs to create the graph of g(x)

We will subtract the 7 from f(x).

Let f(x) be any function

$g(x)=f(x)-k$

It means g(x) obtained by shift the function f(x) down k units by subtracting k units from f(x).

Therefore, g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).

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kolbaska11 [484]

Answer:

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And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

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Step-by-step explanation:

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X ~ N (200,20)

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For this case we can use the z score in order to solve this problem, given by this formula:

Z = x-u/o

For this part we want to find a value a, such that we satisfy this condition:

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P (X < a) = 0.9 (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P ( X < a) = P (X-u/o < a - u/o) = 0.9

P (z < a-u/o) = 0.9

But we know which value of z satisfy the previous equation so then we can do this:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

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