Answer :
According to the parameters given, the rule again for graph of g after so transformations of a function F(x) = 2x - 1 is g(x) = -4x + 4.
What is defined by the term translation?
- A translation is a form of transformation in which every point in a figure moves the same distance within the same direction. are frequently alluded to as slides
- A translation can be described using words such as "moved up 3 more than 5 to the left" or even with notation.
The graph for the given function defined by the equation;
F(x) = 2x - 1
Initially, the graph of g is a three-unit translation, so we have;
- g(x) = f(x) + 3
- g(x) = 2x - 1 + 3 = 2x + 2
Then comes a vertical stretch by such a factor of two and a reflection in the x axis.
The above means that graph must all be multiplied by 2 and that x values containing x are now considered to be -x.
- g(x) = 4x + 4
And an x-axis reflection yields;
- g(x) = 4(-x) + 4
- g(x) = -4x + 4
Thus, the rule for making the graph of function g(x) is by; g(x) = -4x + 4.
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