For the following exercises use the graphs of the transforme

For the following exercises, use the graphs of the transformed toolkit functions to write a formula for each of the resulting functions 43. 44. 45. 46.

Solution

44)   parent function of the graph is -x^3

the graph is transformed to 2 units right shift and one unit upwards

hence the function becomes

f(x) = -(x-2)^3 +1

46) the parent function of the graph is -|x|

it is transformed to 2 units right and 3 units upwards

hence the function becomes

f(x) = -| x - 2 | + 3