| |
You are here: Experts > Science > Mathematics > Advanced Math > pre claculus
Expert: Sherry Wallin - 11/5/2009
Question
how to list the transformations applied to parent function f(x)=x^4 to obtain g(x)=-2(x-3)^4+5
Answer
Hi Chanae~
Beginning with the function f(x) = x^4 your g(x) is obtained by realizing that the leading coefficient -2 flips it from facing up to facing down and increases the x values by a factor of |-2| = 2 which essentially 'widens' the graph (grows faster in the x direction) and the x-3 shifts x to the right 3 units, and the +5 moves the whole function up 5 units. If you are looking for what order to go from f(x) to g(x) then you want to first work inside the parentheses and so you would first subtract 3 from the x, then raise the (x-3) to the fourth power and then add 5 to the result.
I hope this is what you meant by listing the transformations. Otherwise please ask me again and tell me more specifically what you want.
Math Prof
Add to this Answer Ask a Question
|
|
