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AleksAgata [21]
2 years ago
12

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

Mathematics
2 answers:
Flura [38]2 years ago
4 0
The graph went left 1 and up 6. You could complete the square to find out or just graph it!
Hope this helps!
Shtirlitz [24]2 years ago
4 0

Answer:

Translation: Shift 1 unit left and 5 unit up

Step-by-step explanation:

Given: f(x)=x^2

Translation function, g(x)=x^2+2x+6

First we change g(x) into vertex form and then check the translation.

g(x)=x^2+2x+6

Completing square

g(x)=(x^2+2x+1)+5

g(x)=(x+1)^2+5                     \because a^2+2ab+b^2=(a+b)^2

Now, we will compare the function with f(x)

f(x)=x^2

Shift f(x) 1 unit left

f(x)=(x+1)^2

Shift f(x) 5 unit up

f(x)=(x+1)^2+5=g(x)

Translation: 1 unit left and 5 unit up

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9a^{4}b³

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The 2 terms are like terms and can be combined, that is

a^{4}b³ ( 1 + 8)

= 9a^{4}b³

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Answer:

\frac{1}{m^{8} }

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A new American graduate is contemplating buying a Japanese, German, or an American car. No matter the type of car, he plans to b
Svetach [21]

Answer:

The best option is to buy Japanese Car.

Step-by-step explanation:

Fuel usage per year is 150000/ 8 = 18750 miles per year

Fuel cost (year 1 -8) = $3.0, $3.06, $3.12, $3.18, $3.25, $3.312, $3.38, $3.5

Japanese Car:

Fuel usage 18750 / 23 = 815 * $3 = $2446  

Fuel charges (year 1 -8) = $2445, $2494, $2623, $2758. $2900, $3050, $3207, $3372

Repair Cost (year 1 - 8) = $700, $721, $742, $764, $787, $811, $835, $860

Insurance cost (Year 1 - 8) = $700, $714, $728, $742, $757, $772, $788, $804

Present value of cost at 5% = 24674.07

Cost of car is $30,000

Total cost = $54674.07

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Cost $35,000

Fuel usage 18750/20 = 937.5 * $3 per gallon = $2812.5.

Fuel charges (year 1 -8) = $2812, $2913, $2986, $3011. $3098, $3124, $3176, $3208

Repair Cost (year 1 - 8) = $800, $894, $921, $978, $1109, $1176, $1207, $1301

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Present value of cost at 5% = 25302.18

Cost of car is $35,000

Total cost = $60302.

German Car:

Cost = $45,000

Fuel usage 18750 / 21 = 892 * $3 = $2678  

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Insurance cost (Year 1 - 8) = $850, $867, $884, $902, $920, $938, $957, $976

Present value of cost at 5% = 27105.73

Cost of car is $45,000

Total cost = $72105.

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Find all solutions for a triangle with A = 30°, a = 4, and b = 8.
Artemon [7]
The answer will be b
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