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10. A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final graph. 


10a. f(x) = x^3; shift upward 3 units and shift 2 units to the right. 
answer:  (x-2)^3 + 3


10b. f(x) = sqrtx; reflect in the y-axis, shrink vertically by a factor of 1/2, and shift upward 2 units. 


Answer:   y = 1/2 * sqrt(-x)  + 2


10c. f(x) = |x|; shift to the left 1 unit, stretch vertically by a factor of 3, and shift upward 5 units.

 

Answer:  y = 3 * abs(x + 1) + 5

 
 Mar 26, 2019

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