One of my homework questions said "Explain how to obtain f(x)=-(3+x)^2+1 from the graph of y=x^2."
I know somehow you need to move the graph right 3, reflect about the x-axis, and move up one, but I don't know how to factor and manipulate the equation to show this.
One of our homework problem asks:
If f is a one-to-one function such that f(-3)=5 , find x given that f^-1 (5)=3x-1.
Here's how I attempted to solve the problem:
-3=3x-1
3x=-2
x=-2/3
Is this the correct way to solve the problem?