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Triss [41]
3 years ago
6

Let f(x)=−3x. The graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u

nits right.
What is the equation for g(x)?

g(x)=_____
Mathematics
2 answers:
Naily [24]3 years ago
8 0
So the equation for these types of equations is f(x) = a(x-h)+k with h being a horizontal translation, a being a stretch/compression and k being a vertical translation. So here if you want a stretch of 4 a would be four, g(x)=4(-3x-h)+k. Also, there is a horizontal translation so it would be positive 4 into the equation. Since there is no change in the y-axis there is no vertical translation resulting in g(x) = 4(-3x-4)
Crazy boy [7]3 years ago
6 0

Answer:

−12(x−4)

Step-by-step explanation:

I took the test and this is correct.

4(−3x−4) = −12(x−4)

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Does this table show a proportional relationship? <br>________<br>Yes or No?
Colt1911 [192]

Answer:

Yes, the constant of proportionality is 1.5

Step-by-step explanation:


8 0
3 years ago
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The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed
NNADVOKAT [17]

Correct clear question is;

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H_0: μ = 5 H_1: μ ≠ 5

Is the hypothesis test left-tailed, right tailed, or two tailed? A Left tailed B Right tailed C Two tailed

What parameter is being used? A population proportion B population mean C standard deviation

Answer:

A) C - Two tailed hypothesis

B) B - Population mean

Step-by-step explanation:

We are given the hypotheses to be;. Null Hypothesis; H_0: μ = 5

Alternative hypothesis; H_1: μ ≠ 5

From the alternative hypothesis, we can see that the critical area of distribution of the parameter being tested could either be less than 5 or greater than 5 due to the not equal to sign. This means it could either be left tailed or right tailed. Thus, it is a two tailed hypothesis.

From the hypothesis, we see that the symbol μ is being used.

In statistics, μ is generally used as a symbol to denote population mean.

Thus, parameter being used/tested is population mean

4 0
3 years ago
What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.
anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

a_1=-12\\a_2=-7\\a_3=-2\\a_4=3

d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference

Putting the values in the formula

a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n

Putting n=32 in explicit formula

a_{32}=-17+5(32)\\=-17+160\\=143

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

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3 years ago
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Answer:

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Step-by-step explanation:

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