The graphs below have the same shape. What is the equation of the blue
graph?
A) g(x) = (x-4)^2
B) g(x) = (x+4)^2
C) g(x) = x^2 + 4
D) g(x) = x^2 - 4
Answers
The graphs of f(x) and g(x) are related by transforming one of the two graphs.
The equation of the blue graph is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]
From the graphs, we have:
[tex]\mathbf{f(x) =x^2}[/tex]
f(x) is transformed to the right by 4 units.
The rule of this transformation is:
[tex]\mathbf{g(x) \to f(x - 4)}[/tex]
So, we start by calculating f(x - 4)
Given that:
[tex]\mathbf{f(x) =x^2}[/tex]
Substitute x - 4 for x in f(x)
[tex]\mathbf{f(x - 4) =(x - 4)^2}[/tex]
Also, recall that:
[tex]\mathbf{g(x) \to f(x - 4)}[/tex]
So, we have:
[tex]\mathbf{g(x) =(x - 4)^2}[/tex]
Hence, the equation of g(x) is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]
Read more about transformation at:
https://brainly.com/question/11707700
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Step-by-step explanation:
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4) d
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[tex]\stackrel{mixed}{4\frac{3}{8}}\implies \cfrac{4\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{35}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\\\\ -4\frac{3}{8}-\left( -1\frac{1}{4} \right)\implies -\cfrac{35}{8}-\left( -\cfrac{5}{4} \right)\implies -\cfrac{35}{8}+\cfrac{5}{4}\implies \cfrac{-(1)(35)~~ +~~(2)(5)}{\underset{\textit{using this as LCD}}{8}}[/tex]
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Answer:
Harper would take the Total Bill after tax and mutiply it by 0.16.
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Janelys buys milk and apples at the store.
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Answer:
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
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Answer:
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Applying the squaring rule to each of the elements of the domain, we get ...
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2. See above
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Answers
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Step-by-step explanation:
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Then,
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x = 8.
We can plug that into the last equation:
12(8) + 9y = 185 ->
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Write an equation for the sentence.
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Answer:
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When asked to factor the trinomial 8x^2-8x-16) a student gives the answer (X - 2)(x + 1). What is one thing wrong with this answer? - A. 8 is also a factor of this trinomial B. The minus sign should be a plus sign C. The factors are not simplified D. There is nothing wrong with the answer
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Answer:
8 is also a factor of this trinomial
Step-by-step explanation:
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Step-by-step explanation:
First you need to ____
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Answer:
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Answers
Answer:
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Answers
Answer:
1 7/8 (1, 2)
Step-by-step explanation:
60/5=12 so dwayne reads 3/8 chapter per 12 minutes
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A.
Step-by-step explanation:
The attached graph has a y-intercept of -1 and a slope of 2, as the equation says it must.
__
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Please look at picture for question.
Answers
Answer:
2/5m - 1/5
Step-by-step explanation:
Matthew Bailey, as manager of Designs by Bailey, is upgrading his CAD software. The high-performance (HP) software rents for $3,000 per month per workstation. The standard-performance (SP) software rents for $2,000 per month per workstation. The productivity figures that he has available suggest that the HP software is faster for his kind of design. Therefore, with the HP software he will need five engineers and with the SP software he will need six. This translates into a variable cost of $200 per drawing for the HP system and $240 per drawing for the SP system. At his projected volume of 80 drawings per month, which system should he rent?
Answers
Using linear functions, it is found that the high-performance system should be rented.
A linear function has the following format:
[tex]y = ax + b[/tex]
In which:
a is the slope, which is the variable cost.b is the y-intercept, which is the fixed cost.With the high-performance software:
Fixed cost of $3,000 per month, hence [tex]b = 3000[/tex].Cost of $200 per drawing, hence [tex]a = 200[/tex]Then, the model is:
[tex]C_{hp}(d) = 3000 + 200d[/tex]
With the standard-performance software:
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[tex]C_{sp}(d) = 2000 + 240d[/tex]
The costs for 80 drawings, that is, [tex]d = 80[/tex] for both cases are given by:
[tex]C_{hp}(80) = 3000 + 200(80) = 19000[/tex]
[tex]C_{sp}(80) = 2000 + 240(80) = 21200[/tex]
Due to the lower cost, the high-performance system should be rented.
A similar problem is given at https://brainly.com/question/20849340
1cm +4cm+2cm+1.5cm+2.5cm
find its perimeter
Answers
Answer:
11 cm
Step-by-step explanation:
add whole numbers
1 + 4 + 2 = 7
add decimal numbers
1.5 + 2.5 = 4
add the answers
7 + 4 = 11
have a splendid day <3
Answer:
11cm
Step-by-step explanation:
To find perimeter, you simply just add each of the side lengths.
To make this easier to read, lest group some of the terms
1cm + 4cm = 5cm
2cm + 1.5cm = 3.5cm
5cm + 3.5cm = 8.5cm
8.5cm + 2.5cm = 11cm
The five terms are bolded to make sure that we added each term in the sum.