Question

Determine all the transformations that the function f(x)=2(x+1)2−2 undertook from its parent function. Select all that apply.

a. up 2



b. down 2



c. left 2



d. right 2


e. up 1


f. down 1


g. left 1


h. right 1


I. wider


J. narrower

Answer 1

The function f(x)=2(x+1)^2-2 underwent several transformations from its parent function. Firstly, it moved up 2 units, as the constant term -2 was added to the function. Secondly, it was shifted 1 unit to the left, indicated by the term (x+1). The function did not undergo any vertical shifts, as there are no terms that indicate an upward or downward movement. Additionally, there were no horizontal shifts, as there are no terms that indicate a movement to the right or left. The function is also narrower compared to its parent function, as the coefficient 2 multiplied by (x+1)^2 causes a compression of the graph.