Transformations of a function

Question

cloudx · Answer

In the function af(bx+c)+d
Describe what each letter does as a transformation and explain why it has that effect

cloudx · Answer

Hello

cloudx · Answer

I really need help with this question

anonymous · Answer

Hi,

so functions are written as such $$y = a \times f(b(x-h))+k$$ where when you see the f means it's in function notation. $$y = f(x) + k $$ so taking it part by part, notice the k means a vertical translation, so if your function was y = x+k, if you put y = x+5, you can use a table of values for your function and notice all your values will be 5 units up.

anonymous · Answer

So $$y=f(x-h)$$ similarly this would represent a horizontal translation (left and right)

$$y = a f(x)$$ means it's a vertical scaling, so the function either compresses or expands.

You can relate to your function in similar ways play around with it and figure out what they are.

anonymous · Answer

So now try to figure out what everything means, I think it's best if you split it up and do by parts, it's easier to understand then and then you can just put it together.