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3 years ago

The graphs below have the same shape. What is the equation of the blue graph?

Mathematics

1 answer:

postnew [5]3 years ago

4 0

Answer:

Step-by-step explanation:

f(x) + n - shift the graph of f(x) n units up

f(x) - n - shift the graph of f(x) n units down

f(x - n) - shift the graph of f(x) n units to the right

f(x + n) - shift the graph of f(x) n units to the left

===================================

Look at the picture.

The graph of F(x) shifted 1 unit to the right and 3 units down.

Therefore the equation of the function G(x) is

$G(x)=(x-1)^2-3$

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write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0

2 years ago

If E = [9, -6], what is the length of E.

Marrrta [24]

Answer:

Step-by-step explanation:

Interval E contains (9,8,7,6,5,4,3,2,1,0,-1,-2,-3,-4,-5,-6)

so the numbers of the interval equals 16

3 0

3 years ago

Read 2 more answers

Can someone help answer this

maks197457 [2]

Answer:

Step-by-step explanation:

3 0

2 years ago

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Idk can someone help

Evgesh-ka [11]

Answer:

if its 2/7 then 98 the luck also counts so 20

Step-by-step explanation:

luck+98+the premtier

4 0

3 years ago

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This question is like impossible idk

7nadin3 [17]

If the problem was written x + 4x. We would know to add like the coefficients together and get 5x same thing with the radicals.

$\sqrt{3} + 4 \sqrt{3} = 5 \sqrt{3}$

3 0

4 years ago