Here's the question you clicked on:
sadiebee123
Can someone please explain this to me?? Write an equation for the following transformation of y=x: a vertical stretch by a factor of 4
y = A ( Bx + C ) + D A = vertical stretch thus if the "parent function" is \(\bf y = x\) the "transformed function" is \(\bf y = \color{red}{4}x\)
transformed just means, the parent function, or a basic barebones function, with PADDED WITH EXTRA STUFF AROUND
I just don't understand :c
a parent function is just usually a barebone variable expression
What does that mean?... I'm sorry I'm really terrible at math, it's not my cup of tea. I do a lot better when people explain things step by step..
as you PAD MORE STUFF to the written function, the graph moves about or "shifts" or "translates" about
in the case above, I use vertical and horizontal "transformation", in your case for the exercise given, you just need a vertical stretch, that means a multiplier in front of it = A ( Bx + C ) + D A = vertical stretch C = horizontal shift D = vertical shift
Oh okay, but how do I get a whole equation like that out of only y=x and 4?
hmmm,... check above, my 1st line
So I don't need all that extra C and D stuff?
right, you don't the A, B, C, D components are for transformations of different kinds, you should know about, in this case, you only needed A, or the one in front of the function
Ohh okay, I think I understand this better thank you!