Answer:
see attached
Step-by-step explanation:
When the function is transformed by ...
g(x) = b·f(c·(x -h)) +k
The transformation is ...
→ vertical scaling by a factor of "b", including reflection over the x-axis when b < 0
→ vertical translation upward by "k" units'
→ horizontal scaling by a factor of (1/c), including reflection over the y-axis when c < 0
→ horizontal translation to the right by "h" units.
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Here, you have different values of these parameters for different parts of the problem. In the attached graph, the original f(x) is a dashed purple line. The other transformations are color-coded.
a)
h = -2, k = 3
Translation 2 units left and up 3 units.
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b)
b = -1
Reflection over the x-axis.
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c)
b = -1, c = -1, k = -1
Reflection over the x-axis, reflection over the y-axis, and translation down 1 unit. Note that the figure is left-right symmetrical, so reflection over the y-axis makes no apparent change.
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d)
b = 2, h = 1
Vertical scaling by a factor of 2, translation 1 unit to the right.
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You can read more about function transformations at ...
https://brainly.com/question/26999346
