saturnpreshine
Answered

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can i have some asap asap help?
thanks

Can I Have Some Asap Asap Help Thanks class=

Sagot :

semsee45

Answer:

[tex]y=2(x-2.5)^2-1.5[/tex]

Step-by-step explanation:

[tex]y=2x^2-10x+11[/tex]

Factor highest common numerical factor of the first two terms:

[tex]y=2(x^2-5x)+11[/tex]

Add [tex](\frac{-5}{2})^2[/tex] inside the parentheses and subtract [tex]2(\frac{-5}{2})^2[/tex]:

[tex]y=2(x^2-5x+6.25)+11-12.5[/tex]

[tex]y=2(x^2-5x+6.25)-1.5[/tex]

Factor parentheses:

[tex]y=2(x-2.5)^2-1.5[/tex]
  • 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)

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