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OLga [1]
3 years ago
14

If the graph of the function f defined by

Mathematics
1 answer:
hoa [83]3 years ago
6 0

Answer:

g(x) = 3x^2 + 3.

Step-by-step explanation:

f(x) = 3x^2 - 5.

First, the x-intercepts have to be calculated to determine the line of symmetry of f(x). For that, set f(x) = 0. Therefore:

3x^2 - 5 = 0.

x^2 = 5/3

x = 1.29 and x = -1.29. The midpoint of these two x-coordinates will be the line of symmetry, which is x = 0.

Therefore, if the graph is translated vertically upwards, it will move up the y-axis by the given amount. In this question, the amount is 8. Simply add 8 in f(x) to obtain g(x). Therefore:

g(x) = f(x) + 8.

g(x) = 3x^2 - 5 + 8.

g(x) = 3x^2 + 3.

Therefore, g(x) = 3x^2 + 3!!!

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Tara and Michelle are growing trees in their back yard. Tara's tree starts at a height of 10 feet, and grows 4 ft. a year. Miche
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Answer:

To determine the exponential growth of Michelle's tree at 12 years, taking into account that it measures 7 feet and grows 14% annually, the following calculation must be performed:

X = 7 x (1 + 0.14) 12

X = 33.7

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spayn [35]

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
2w^2-11w=-12 <br> a w=3/2 or 4<br> b w=1 or 12<br> c w=1 or 7<br> d w = 2.5 or 6
dlinn [17]
Hey mate !!
Here's your answer !!


2w^2 - 11w = -12
2w^2 -11w + 12 = 0
2w^2 - 8w - 3w + 12 = 0

2w ( w - 4) -3 ( w - 4) = 0
(2w - 3) ( w - 4) = 0

Hence

2w - 3 = 0
2w = 3
w = 3/2

w - 4 = 0
w = 4

Hence value of w are 4 and 3/2

Hope this helps!!
Cheers!!
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A pair of numbers that can be used to locate a point on a coordinate plain
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Answer:

(5,2)

Step-by-step explanation:

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