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oksian1 [2.3K]
3 years ago
7

identify a horizontal or vertical stretch or compression of the function f(x)=x^2 by observing the equation of the function g(x)

=(4x)^2
Mathematics
1 answer:
Tanzania [10]3 years ago
8 0
Dentify<span> a </span>horizontal<span> or </span>vertical stretch<span> or </span>compression<span> of the</span>function<span> ƒ(</span>x<span>) = x2 by </span>observing<span> the </span>equation<span> of the </span>function g(x) = (9x)2<span>. ... </span>2<span>Answers. 0 votes. Let </span>f<span> (</span>x<span> ) is a </span>function<span> and c be a positive real number, the graph of the </span>function g<span> (</span>x<span> ) = </span>f<span> (c</span>x<span> ) is represented as follows. when, c > 1, the </span>function<span> .</span>
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so basically what i was thinking of was they sold them in the spring

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3 years ago
Determine formula of the nth term 2, 6, 12 20 30,42​
nalin [4]

Check the forward differences of the sequence.

If \{a_n\} = \{2,6,12,20,30,42,\ldots\}, then let \{b_n\} be the sequence of first-order differences of \{a_n\}. That is, for n ≥ 1,

b_n = a_{n+1} - a_n

so that \{b_n\} = \{4, 6, 8, 10, 12, \ldots\}.

Let \{c_n\} be the sequence of differences of \{b_n\},

c_n = b_{n+1} - b_n

and we see that this is a constant sequence, \{c_n\} = \{2, 2, 2, 2, \ldots\}. In other words, \{b_n\} is an arithmetic sequence with common difference between terms of 2. That is,

2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2

and we can solve for b_n in terms of b_1=4:

b_{n+1} = b_n + 2

b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2

b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2

and so on down to

b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)

We solve for a_n in the same way.

2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)

Then

a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)

a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))

a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))

and so on down to

a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2

\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}

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2 years ago
16+ greater or less than+19
saul85 [17]
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3 years ago
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Write the equation of the line given the graph. Enter your equation in y=mx+b without spaces.
love history [14]
The answer is y=-2/3+2 because the line crosses at 2, which is the y-intercept. It goes down two times and runs three times making the slope -2/3.
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What is the percent of change from 90 to 18???
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Answer:

5% decrease

Step-by-step explanation:

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