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horsena [70]
3 years ago
9

Using the graph of f(x)=x^2 as a guide, describe the transformations, and then graph each function.

Mathematics
2 answers:
leonid [27]3 years ago
8 0
Multiplying the whole function by -1 reflects the function across the x axis
so f(x) to -f(x) would be a reflection across the x axis


multiplying the whole function by a fraction is a vertical transformation, if you multiply by a value x, such that 0<x<1, then it is a vertical shrink, if x>1, then it is a vertical stretch
so like f(x) to 2f(x) is a vertical stretch by a factor of 2

adding a value to the whole function moves it up by that number



ok

so f(x)=(-1)(\frac{1}{2})(x^2)+2
we have multiplied the whole thing by -1 and 1/2 and then added 2 to the whole function

that is a reflection across the x axis, a vertical shrink by a factor of 1/2, and translated up by 2 units in that order

nordsb [41]3 years ago
3 0

Answer:

hi

Step-by-step explanation:

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If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = ______.
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Answer: 142°15'

Explanation:

Supplementary angles are angles that add up to make a straight angle (180^{\circ}).

Therefore, we must find the angle ∠B such that

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142°15'

6 0
3 years ago
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Write a problem that involves finding the unknown measure of a side of a rectangle include the solution?
tankabanditka [31]
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7 0
2 years ago
According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h
shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 8 mortgages

            r = number of success = exactly one

           p = probability of success which in our question is % of U.S.

                  mortgages those were delinquent in 2011, i.e; 8%

<em>LET X = Number of U.S. mortgages those were delinquent in 2011</em>

So, it means X ~ Binom(n=8, p=0.08)

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

                 P(X = 1)  = \binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}

                               = 8 \times 0.08 \times 0.92^{7}

                               = 0.357

<u><em>Hence, the probability that exactly one of these mortgages is delinquent is 0.357.</em></u>

4 0
3 years ago
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