Respuesta :

Question:

Solution:

Note that the standard quadratic form of a quadratic polynomial is given by the following equation:

[tex]ax^2+bx+c\text{ = }y[/tex]

so that, the vertex form of a quadratic equation is

[tex]y\text{ = a(}x-h)^2+k[/tex]

where (h,k) is the so-called vertex. Thus, according to this, we can say that the equation that represents a vertex (h,k)=(3,-3) is

[tex]y\text{ = 5(}x-3)^2\text{-}3[/tex]

then, we can conclude that the correct answer is:

[tex]y\text{ = 5(}x-3)^2\text{-}3[/tex]

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