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Rasek [7]
3 years ago
5

The function f(x) = x^2+ 5x – 6 is shifted 4 units to the left to create g(x). What is g(x)?

Mathematics
1 answer:
Naily [24]3 years ago
4 0

Step-by-step explanation:

f(x) = x^2 + 5x – 6 becomes g(x) if we replace each x in f(x) with (x+4):

g(x) = (x+4)^2 + 5(x+4) - 6

This can be expanded:  g(x) = x^2 + 8x + 16 + 5x + 20 - 6, or

                                       g(x) = x^2 + 13x + 30

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Completely simplified the expression for x plus 10 plus 6 x plus 2 x by combining like terms into your answer in the box.
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We can first turn the text into a proper formula:

x plus 10 plus 6 x plus 2 x

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We can then put the like terms together to continue the calculation:

x+6x+2x+10

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