Solve −3=x4+5 using the replacement set {−32, 8, 32} .
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Answer:
Shift f 8 units down.
Step-by-step explanation:
The complete question is
. We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f by___ units.
We know that g is obtained by shifting f, k units up or down (depending of the value of k, if positive, the shifting is up, or down otherwise). At any point x, we get g(x) by adding k units to the value of f(x). That is
If we replace the meaning of f,g we get
by substracting x^2 on both side we get that k = -8. This means that to get g, we must shift f 8 units down