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PIT_PIT [208]
4 years ago
15

Factor and simplify: (a^2+2a)^2-2(a^2+2a)-3

Mathematics
1 answer:
Alinara [238K]4 years ago
8 0
The answer is a^4+4a^3+2a^2-4a-3
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List the sequence of transformations. ()=−2(−3)^4+1
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We have the function:

()=−2(−3)^4+1

We need to go from this equation to the parent function x^4. To do that, we first do a vertical translation of 1 unit below. That is:

Vertical translation: f(x) - 1

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Now, we make a horizontal shift of 3 units to the left, replacing x by x + 3:

f(x + 3) + 1 = −2()^4

Horizontal shift: f(x + 3) - 1

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We can make a horizontal expansion if we multiply this function by 1/2:

Horizontal expansion: ( f(x + 3) - 1 ) / 2

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Finally, we make a reflection around the x-axis by multiplying this result by -1:

x-axis reflection: -( f(x + 3) - 1 ) / 2

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