brooklynumfress
brooklynumfress brooklynumfress
  • 22-02-2019
  • Mathematics
contestada

HURRY Given ​ f(x)=x^2−2x−5​. Enter the quadratic function in vertex form in the box.

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-03-2019

Answer:

[tex]f(x)=(x-1)^2-6[/tex]

Step-by-step explanation:

The given quadratic function is

[tex]f(x)=x^2-2x-5[/tex]

We complete the square to obtain the vertex form;

Add and subtract half the coefficient of [tex]x[/tex]

[tex]f(x)=x^2-2x+(-1)^2-(-1)^2-5[/tex]

Factor by identifying the perfect square

[tex]f(x)=(x-1)^2-1-5[/tex]

Simplify to obtain the vertex form as

[tex]f(x)=(x-1)^2-6[/tex]

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