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Answer:
a = -2, h = 2, k = 1
Step-by-step explanation:
Compare the expressions. Match one pattern to the other.
![f(x)=-2|x-2|+1\\\\f(x)=\ \,\,a|x-h|+k \qquad\ a=-2,\ h=2,\ k=1](https://tex.z-dn.net/?f=f%28x%29%3D-2%7Cx-2%7C%2B1%5C%5C%5C%5Cf%28x%29%3D%5C%20%5C%2C%5C%2Ca%7Cx-h%7C%2Bk%20%5Cqquad%5C%20a%3D-2%2C%5C%20h%3D2%2C%5C%20k%3D1)
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The transformations are ...
Translation by (h, k) = (2, 1). That is, 2 units right and 1 unit up.
Vertical scaling by "a", which is (i) reflection over the x-axis (because a < 0), and (ii) expansion by a factor of 2.
A table and graph are shown in the attachment.