f(x)+a : shift upward a units
f(x)-a : shift downward a units
f(x+a) : shift left a units
f(x-a) : shift right a units
-f(x) : reflection across the x-axis
f(-x) : mirror; reflection across the y-axis
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The local extrema of f(x) = x + 2*sin(x) are 6.2832 and 2.4567 (approx).If the question was about some other function of x, please resubmit using words for mathematical symbols. The browser that you are required to use for posting questions is rubbish and will reject most mathematical symbols. In this case, all that I can see is "f(x)x 2sinx" and have had to guess the rest.
W = F x d Work = Force times distance
The function ( f(x) = 2^x ) is transformed to ( g(x) = 5 \cdot 2^{x - 3} + 8 ). The transformations include a vertical stretch by a factor of 5, a horizontal shift to the right by 3 units, and a vertical shift upwards by 8 units. This results in the graph being stretched taller, moved right, and shifted upward.
The mathematical product of 5 and x is 5x.
X is a variable in the mathematical language. X could be any number, letter or equation.