If f(x) = x2 + 2x, which expression represents f(x + 2)?
2 answers:
Answer:
x^2 + 6x + 8.
Step-by-step explanation:
We replace the x in f(x) by x + 2 then simplify.
f(x+2) = (x + 2)^2 + 2(x + 2)
= (x + 2)(x + 2) + 2(x + 2)
= (x + 2(x + 2 + 2)
= (x + 2(x + 4)
= x^2 + 6x + 8.
f(x) = x^2 + 2x
To get f(x + 2), we just plug in the x + 2 where ever there's an x
f(x + 2) = (x + 2)^2 + 2(x + 2)
f(x + 2) = x^2 + 4x + 4 + 2x + 4
f(x + 2) = x^2 + 6x + 8
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