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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

Algebra
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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

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Other answers:

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..
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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!
yw

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