State the value of a, k, c, and d for the following equation and describe the transformations that apply: f(x) = –1⁄4(x + 2)^3 – 7.?
- PopeLv 74 years agoFavorite Answer
You want us to do that without first defining a, k, c, or d?
Your definitions answer your question, at least the first part. I am thinking you must mean this:
Let p(x) = x³.
f(x) = a[(x - d)/k]³ + c
Begin with the graph of y = p(x).
To get the graph of y = f(x), effect these transformations, in order, on the previous graph.
Scale vertically, by factor a, with the x-axis invariant.
Scale horizontally, by factor k, with the y-axis invariant.
Translate by vector <d, c>.
Actually, the order of the scalings does not matter, but the translation must be last. In your case, these are the transformations:
Scale vertically, by factor -1/4, with the x-axis invariant.
Scale horizontally, by factor 1, with the y-axis invariant. That is the identity transformation in this case, and may be omitted.
Translate by vector <-2, -7>.