Expert: Paul Klarreich - 2/1/2012

Question
What transformations occur in: 2(-3x)^3 - 7?
I think it's a reflection in the y-axis, 7 units downward, and a horizontal shrink of 2.

Answer
Questioner:Hiral
Country:New Jersey, United States
Category:Calculus
Private:Yes    <<<<<<<<<<<<<  changed
Subject:Transformations in Graphs



Question:

What transformations occur in: 2(-3x)^3 - 7?
I think it's a reflection in the y-axis, 7 units downward, and a horizontal shrink of 2.
............................

Compared to  y = x^3, most of that is ok, but I would say:

1.  x -->  3x   means a horizontal 'shrink'.

2  3x --> -3x   reflects. (OK)

3.  ()^3   --> 2()^3  means a vertical stretch.

4.  ....  --> .... - 7  meand down 7 units.