You have to make a rough graph to check the results of transformation. For that graph of both and is attached with the answer.
For thinking like that, just see that in the as compared to , you are multiplying each value by 4, it means you are increasing each the value so every point should move up by a factor of 4. But one point is fixed which is the bottom point as its value is zero initially and after multiplying it by 4 it won't change as 0×4=0. So graph will become narrow
Replacing x with 2x, we would have f(2x) = 4x². The value of a, 4, tells us it will be either a stretch or a shrink; if a>1, it is a shrink; if a<1, it is a stretch.
You have to make a rough graph to check the results of transformation. For that graph of both and is attached with the answer.
For thinking like that, just see that in the as compared to , you are multiplying each value by 4, it means you are increasing each the value so every point should move up by a factor of 4. But one point is fixed which is the bottom point as its value is zero initially and after multiplying it by 4 it won't change as 0×4=0. So graph will become narrow
Replacing x with 2x, we would have f(2x) = 4x². The value of a, 4, tells us it will be either a stretch or a shrink; if a>1, it is a shrink; if a<1, it is a stretch.
The graph tells us that Ralph's performance has gradually been getting worse, Jill's performance has been improving over time, Tina has overall been stable and good in her performance, that Ed's performance has been erratic and that Sam's performance has been inconsistent but improving.
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is attached with the answer.
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