mimigonzalez583
mimigonzalez583 mimigonzalez583
  • 16-02-2022
  • Mathematics
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Help How can I Use the process of completing the square to write the quadratic function in vertex form.

Help How can I Use the process of completing the square to write the quadratic function in vertex form class=

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goddessboi goddessboi
  • 16-02-2022

Answer:

[tex]f(x)=(x-4.5)^2-23.25[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+9x-3\\\\f(x)+23.25=x^2+9x-3+23.25\\\\f(x)+23.25=x^2+9x-20.25\\\\f(x)+23.25=(x-4.5)^2\\\\f(x)=(x-4.5)^2-23.25[/tex]

Basically, you want the third term to be the square of half the middle term. Therefore, you need to add something to both sides to "complete the square" and reduce the trinomial into a square.

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