Question

For each function, identify the horizontal translation of the parent function, f(x)=x^2. Then graph the function.

19. y=(x-4)^2

I need to figure out how to solve this problem, so steps would be appreciative! PLEASE don't leave websites for me to check out, I guarantee you I've seen them, I just don't understand. Thanks so much :)

Answer 1

Think of moving the y-axis 4 units to the right. All the x distances would be 4 less than they are now.

So, y = (x-4)^2 is just the parabola y=x^2, moved 4 units to the right!

replacing x by (x-h) moves the graph h units to the right.

you can see this here:

http://www.wolframalpha.com/input/?i=plot+y%3Dx%5E2,+y%3D(x-4)%5E2,+-4%3C%3Dx%3C%3D10