SOLUTION: Use transformations of the graph of y = x^4 or y = x^5 to graph f(x)=(x+1)^4 and f(x)=-x^5.

Algebra ->  Graphs -> SOLUTION: Use transformations of the graph of y = x^4 or y = x^5 to graph f(x)=(x+1)^4 and f(x)=-x^5.      Log On


   

Question 1116668: Use transformations of the graph of y = x^4 or y = x^5 to graph f(x)=(x+1)^4 and f(x)=-x^5.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+x%5E4 to graph f%28x%29=%28x%2B1%29%5E4:
In this graph, f+%28x%29 has been moved over one unit to the left:
+f+%28x+%2B+1%29+=+%28x+%2B+1%29%5E4 is y shifted one unit to the left



y+=+x%5E5 to f%28x%29=-x%5E5
The function that have here looks like it can be written as y=-f%28x%29.
since y=-f%28x%29, the function y is reflected about the x-axis
So, again, the means that all we do is change the sign on all the y coordinates.