Mathematics

Question

Consider the function f(x)=x^2−6x−2 . Which equation shows function f written in vertex form? f(x)=(x−3)^2−5 ​ f(x)=(x+3)^2−11 ​ f(x)=(x+3)^2−5 ​ f(x)=(x−3)^2−11 ​

2 Answer

  • Answer:

    f(x) = (x − 3)² − 11

    Step-by-step explanation:

    To convert to vertex form, complete the square.

    f(x) = x² − 6x − 2

    f(x) = x² − 6x + 9 − 9 − 2

    f(x) = (x − 3)² − 11

  • We need to complete the square: if we add and subtract 11 from the expression, we have

    [tex]f(x)=x^2-6x-2=x^2-6x-2+11-11=x^2-6x+9-11=(x-3)^2+11[/tex]

NEWS TODAY