Functions Transformations: A Summary

This video reviews function transformation including stretches, compressions, shifts left, shifts right, and reflections across the x and y axes.

[jmail]

I'm confused?? This stuff is so frustrating.. You said that when b is negative it is a reflection in the y-axis. In the function g(x)= √2(x+1) b=2 and c=1, right? Then g(x)= √-2(x+1) should be a reflection in the y-axis, but it isn't.. if I distribute g(x)= √-2x-2 it still doesn't give me a reflection in the y-axis. The only way I can seem to get what I want is if I make the x negative (-x) and do nothing with the b value. Thus, g(x)= √2((-x)+1) or g(x)= √2(-x)+2 works as a reflection in the y-axis. Am I missing something? Please help!! :0

[putrinaibaho]

thankyou for this, i think i will finally understand math again ♥

[carolineh]

Sent here by Cengage/ Webassign. A simple hint would have sufficed

[techeepeach]

My daughter’s grade math functions starts with this lesson, I have a bachelors degree in math and I think this is the worst way to explain functions in math!! The worst first lesson for functions and graphing them! No wonder people don’t understand math.

[cheesecake]

i like how you taught this and it made complete sense but my teachers use different variables so its kinda difficult to use this tutorial as effectively. There really should be some standard notation for generic function translations because the lack of consensus leads to confusion online.

[ItsRainingTrees]

You might have saved my math grade. You are a saint. This helped me study SO much.

[jcmellymel]

On time 7:50, could the shifting for C be backwards? +1 should be shifting to the right since going left would be like subtracting from the X-axis.

[llewgibson]

Just seen your video mate, absolutely love the content. Subbed straight away, We should connect!

[tylerh]

I'm not following his last problem: Y= √((1/3)(x+1)) - 3. He says that there's no "a" term here, but given that 1/3 is outside the parenthesis, I would think that 1/3 is the "a" term? I think I struggle in general interpreting when something is an or term or b term, it's not always clear to me. He also didn't address what we do with the square root. Any insight here is appreciated!

[nylahgreen]

What makes the -2 outside of the parentheses different from the 1/3 outside of the parentheses? Why is one horizontal while the other is vertical? Don't they both have the same placement?

[asrimd]

I was wondering what will happen for f(x)^n?
thank you so much

[JustPCat]

You're a great instructor ma' man.