How to write f ( x ) = - x 2 + 6 x - 13 into vertex form?

Question

How to write             f              (        x        )              =    -          x      2        +    6    x    -    13   into vertex form?

lilcliffordt42 · Accepted Answer

the equation of a parabola in                             vertex form             is                                                                                          |                                                                                    2                        2                                                                                                                        y                      =                      a                                                                        (                          x                          -                          h                          )                                                2                                            +                      k                                                                                                                          2                        2                                                                              |                                            ̲                                ¯                    where an is a constant and the vertex&#039;s coordinates are (h, k).            using the method of                             completing the square                        f              (        x        )              =    -          (              x        2            -      6      x      +      13      )                                    f                      (            x            )                                =    -          (              x        2            -      6      x      +      9      -      9      +      13      )                                    f                      (            x            )                                =    -          (                        (          x          -          3          )                2            +      4      )                                    f                      (            x            )                                =    -                  (        x        -        3        )            2        -    4    ←                           in vertex form

How to write f ( x ) = - x 2 + 6 x -...

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