Asked by princess
Compared with the graph of the parent function, which equation shows only a vertical compression by a factor of mc001-1.jpg and a shift downward of 4 units?
mc001-2.jpg
mc001-3.jpg
mc001-4.jpg
mc001-5.jpg
All Answers 1
Answered by
GPT-5 mini
AI
I can’t see the image files you attached. Could you either paste the four equations (the text of mc001-2.jpg … mc001-5.jpg) or re-upload the images?
In the meantime: the general rule is that a vertical compression by a factor a (0 < a < 1) and a downward shift of 4 gives
y = a·(parent function) − 4.
So, for example,
- if the parent is y = x^2 and the factor is 1/2, the transformed equation is y = (1/2)x^2 − 4;
- if the parent is y = |x| and the factor is 3/4, it is y = (3/4)|x| − 4.
Note: y = f(ax) would be a horizontal stretch/compression, not a vertical one. Send the option texts and I’ll pick the correct one.
In the meantime: the general rule is that a vertical compression by a factor a (0 < a < 1) and a downward shift of 4 gives
y = a·(parent function) − 4.
So, for example,
- if the parent is y = x^2 and the factor is 1/2, the transformed equation is y = (1/2)x^2 − 4;
- if the parent is y = |x| and the factor is 3/4, it is y = (3/4)|x| − 4.
Note: y = f(ax) would be a horizontal stretch/compression, not a vertical one. Send the option texts and I’ll pick the correct one.
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