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24 votes
24 votes
Can i have some asap asap help?
thanks

Can i have some asap asap help? thanks-example-1
User Wouter Van Ooijen
by
2.4k points

2 Answers

14 votes
14 votes
  • y=2x²-10x+11
  • y=2x²-10x+12.5+11-12.5
  • y=2(x²-5x+6.25)+11-12.5
  • y=2(x-2.5)²-1.5

Compare to vertex form of parabola

  • y=a(x-h)²+k

Vertex at (2.5,-1.5)

User TLK
by
3.5k points
12 votes
12 votes

Answer:


y=2(x-2.5)^2-1.5

Explanation:


y=2x^2-10x+11

Factor highest common numerical factor of the first two terms:


y=2(x^2-5x)+11

Add
((-5)/(2))^2 inside the parentheses and subtract
2((-5)/(2))^2:


y=2(x^2-5x+6.25)+11-12.5


y=2(x^2-5x+6.25)-1.5

Factor parentheses:


y=2(x-2.5)^2-1.5

User Pankaj Lilan
by
3.3k points