Describe all the transformation, reflections and dilations for the following functions given the parent functions &  

 

1.  

 

2.  

Describe all the transformations, reflections and dilations for the following functions given the parent functions f(x) = x^2 & g(x) = x^3

1.  f(x) = 1/2(x + 3)^2 - 6

2.  g(x) = -3(x - 4)^3 + 7

Given the parent function, f(x) = x^3, create a new function, g(x), based on the following transformations:

Reflected over the x-axis

Translated down 4

Vertical shrink of 1/2

Given the parent function, f(x) = x^2, create a new function, g(x), based on the following transformations:

Translated left 2

Translated up 3

Vertical stretch of 3