Consider the function f(x) = 2ln (1/3(x+1)) - 1. a.) State the transformations applied to the function. b.) Determine the x-intercept. c.) Sketch the function using key points.
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Consider the function f(x) = 2ln (1/3(x+1)) - 1.
a.) State the transformations applied to the function.
b.) Determine the x-intercept.
c.) Sketch the function using key points.
(a)
Rearrange the function to find the constants related to shifting the curve.
1. Shift the plot of the parent curve 3 units in left direction horizontally.
2. Scale the plot to 1/3 unit and the curve shrinks horizontally.
3. Scale the plot by 2 units and the curve stretches vertically.
4. Finally, shift the plot by 1 units in downward direction vertically.
(b)
Put y = 0 and find x to calculate x-intercept.
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