SOLUTION: Find vertical/horizontal asymptote and x- and y-intercept of: {{{ f(x) = (8x-4x^2)/((x+2)^2) }}} Thank you

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Question 915815: Find vertical/horizontal asymptote and x- and y-intercept of:
+f%28x%29+=+%288x-4x%5E2%29%2F%28%28x%2B2%29%5E2%29+

Thank you
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find vertical/horizontal asymptote and x- and y-intercept of:
f(x) = (8x-4x^2)/((x+2)^2)
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Factor::
f(x) = [4x(2-x)]/(x+2)^2
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Vertical asymptote when x+2 = 0::: x = -2
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Horizontal asymptote:: y = -4x^2/x^2 = -4
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Cheers,
Stan H.
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
horizontal asymptote:

%288x-4x%5E2%29%2F%28x%2B2%29%5E2->-4 as +x-> ±infinity


vertical asymptote:
+%288x-4+x%5E2%29%2F%28x%2B2%29%5E2+->-infinity as x->-2

x-intercept: set +f%28x%29+=0
+0+=+%288x-4x%5E2%29%2F%28%28x%2B2%29%5E2%29+
+0%2A%28x%2B2%29%5E2+=+%288x-4x%5E2%29+
+0+=+8x-4x%5E2+
4x%5E2-8x+=0+
4x%28x-2%29+=0+
x=0 or x=2
x-intercepts at: (+0+,+0+) and (+2+,+0+)

y-intercept: set +x+=0
+y+=+%288%2A0-4%2A0%5E2%29%2F%28%280%2B2%29%5E2%29+
+y+=+0%2F4+
+y+=+0+
y-intercept: (+0+,+0+)

+graph%28+600%2C+600%2C+-20%2C+5%2C+-10%2C+5%2C+%288x-4x%5E2%29%2F%28%28x%2B2%29%5E2%29%29+