NeeliaC576343 NeeliaC576343
  • 28-10-2022
  • Mathematics
contestada

Given that the zeros of a quadratic function are -4 and 6, what is the standard form of the quadratic function?

Respuesta :

TalS667412 TalS667412
  • 28-10-2022

The factored form of a quadratic equation is

[tex]\begin{gathered} f(x)=a(x-c_1)(x-c_2) \\ a\rightarrow\text{ constant} \\ c_1,c_2\rightarrow\text{ roots} \end{gathered}[/tex]

Therefore, in our case,

[tex]\Rightarrow f(x)=(x+4)(x-6)[/tex]

Notice that no information about constant a is provided by the question,

[tex]\Rightarrow f(x)=(x+4)(x-6)=x^2-2x-24[/tex]

The standard form of the quadratic function is x^2-2x-24

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