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Complete the square to re-write the quadratic function in vertex form: y = x ^ 2 - 2x - 8

Sagot :

EPSTER1

Answer:

[tex]y=(x-1)^2-9[/tex]

Step-by-step explanation:

[tex]y=x^2-2x-8[/tex]

To complete the square:

[tex]\frac{b}{2}=(-1)^2=1[/tex]

[tex]y=x^2-2x-8[/tex]

[tex]+9[/tex]                 [tex]+9[/tex]

[tex]y+9=x^2-2x+1[/tex]

[tex](x-1)^2=y+9[/tex]

          [tex]-9[/tex]         [tex]-9[/tex]

[tex]y=(x-1)^2-9[/tex]

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