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3 years ago

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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Torque, which is also known as the moment of a force, is the propensity of a force to rotate the body to which it is applied. Force (F) x Distance (r) = Torque is how torque is calculated. The distance (r) between the pivot point and the force's action point. A vector quantity is a torque. As a vector quantity, torque always has a direction that is perpendicular to the plane that contains the vectors of force and displacement.

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