Write an equation for the following transformation of y = x: a vertical stretch by a factor of 4.
Y = Vertical axis. X = Horizontal axis. \(\color{red}{\text{Vertical stretch by a factor of four}}.\)
I cannot give you the answer just hint do you understand this part?
so I multiply y by 4 does that work?
4y = x
I'm not sure, but I think when it is stretched, it means that now it will cover a larger area for the same x. So I think that is right.
So sorry for ignoring you, just kinda got lost in my homework.
Remember: \[C = Shrinking~or~stretching~factor\] Shrinking graphs: \[y = c~(x - h)^2 + k \Rightarrow (h, k) = vertex\] Absolute value: \[y = c~|x - h| + k \Rightarrow (h, k) = vertex\] \[-1 < c < 1;~c \neq 0~\text{This means to shrink.}\] Stretching graphs: \[c > 1;~ c < -1\text{This means to stretch.}\]
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