Functions f(x) and g(x) are shown below.

f(x) = x^2

g(x) = x^2 8x 16

In which direction and by how many units should f(x) be shifted to obtain g(x)?

Question

27-07-2015
Mathematics

Answered

Functions f(x) and g(x) are shown below.

f(x) = x^2

g(x) = x^2 8x 16

In which direction and by how many units should f(x) be shifted to obtain g(x)?

Verified Answer :

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JaySL JaySL · Answer 1 · 2015-07-27T15:54:15-04:00

JaySL JaySL

27-07-2015

We can factor g(x) as \((x+4)^2\). Clearly, g(x) is simply f(x+4), so f(x) should increase each x by 4 to achieve the same result as g(x). Therefore, f(x) should be shifted 4 units in the positive-x (or right) direction.

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Functions f(x) and g(x) are shown below.f(x) = x^2g(x) = x^2 8x 16In which direction and by how many units should f(x) be shifted to obtain g(x)?

Verified Answer :

Related Questions

Functions f(x) and g(x) are shown below.

f(x) = x^2

g(x) = x^2 8x 16

In which direction and by how many units should f(x) be shifted to obtain g(x)?