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givi [52]
3 years ago
10

How does the graph of f(x)=4 cos(1/2x)-3 differ from the graph of g(x)=4 cos(x)-3

Mathematics
2 answers:
just olya [345]3 years ago
8 0

Answer:

The function f(x) is stretched horizontally.

Step-by-step explanation:

We are asked to determine how the graph of f(x)=4\text{cos}(\frac{1}{2}x)-3 differ from the graph of g(x)=4\text{cos}(x)-3.

Let us recall transformation rules of functions.

f(ax)\rightarrow

If a>1 function compresses horizontally.

If a function stretches horizontally.

Upon looking at function f(x)=4\text{cos}(\frac{1}{2}x)-3, we can see that the value of 'a' is less than 1 that is \frac{1}{2}, therefore, the function f(x) is stretched horizontally.

Sunny_sXe [5.5K]3 years ago
5 0
The graph of f(x)=4 cos(1/2x)-3 differs from the graph of g(x)=4 cos(x)-3, f(x) is stretched <span>horizontally.</span> 
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Simplify the following expression, show all work you did to get the results​
777dan777 [17]

Answer:

(sqrt(7))/3 or decimal 0.8819171036881968635005385845464201419034197276941500601227781530...

Step-by-step explanation:

Simplify the following:

(sqrt(14))/(sqrt(18))

Hint: | Simplify radicals.

sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):

(sqrt(14))/(3 sqrt(2))

Hint: | Multiply numerator and denominator of (sqrt(14))/(3 sqrt(2)) by sqrt(2).

Rationalize the denominator. (sqrt(14))/(3 sqrt(2)) = (sqrt(14))/(3 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(14) sqrt(2))/(3×2):

(sqrt(14) sqrt(2))/(3×2)

Hint: | Multiply 3 and 2 together.

3×2 = 6:

(sqrt(14) sqrt(2))/6

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(14) sqrt(2).

sqrt(14) sqrt(2) = sqrt(14×2):

(sqrt(14×2))/6

Hint: | Multiply 14 and 2 together.

14×2 = 28:

(sqrt(28))/6

Hint: | Simplify radicals.

sqrt(28) = sqrt(2^2×7) = 2 sqrt(7):

(2 sqrt(7))/6

Hint: | In (2 sqrt(7))/6, divide 6 in the denominator by 2 in the numerator.

2/6 = 2/(2×3) = 1/3:

Answer:  (sqrt(7))/3

5 0
2 years ago
n your notebook, set up the following subtraction in a vertical format and select the correct answer. Reduce 7y + 2y 2 - 7 by 3
exis [7]

Answer:

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Step-by-step explanation:

We are given

\frac{7y+2y^2-7}{3-4y}

we can rewrite it as

\frac{2y^2+7y-7}{3-4y}

we know that

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6 0
3 years ago
What is the first step in constructing an inscribed circle inside triangle XYZ?
Tasya [4]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
Can somebody help me please
Sergeu [11.5K]
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3 0
3 years ago
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I think it would be 36 it’s what my friend told me I’m not sure though sorry if it’s wrong.

8 0
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