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FLjewelamymizzle FLjewelamymizzle
  • 30-11-2016
  • Mathematics
Answered

What are the x– and y–intercepts of the graph of y = 2x^2 – 8x – 10?

Verified Answer :

kittysage
kittysage kittysage
  • 02-12-2016

x-intercepts are found by setting y=0
\(y=2x^2-8x-10\rightarrow0=2x^2-8x-10\)
factor out a 2 \(0=2(x^2-4x-5)\rightarrow0=x^2-4x-5\)
\(0=(x-5)(x+1)\) roots should be x=-1,5
therefore, x-intercepts are (-1,0) and (5,0)

y-intercepts are found by setting x=0
\(y=2x^2-8x-10\rightarrow y=2(0)^2-8(0)-10\)
\(\rightarrow y=0-0-10=-10\)
therefore, y-intercept is (0,-10)

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