Question

(V2.00)
Rewrite f(x) = -2(x - 3)2 + 2 from vertex form to standard form.
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Answer 1

The standard form of the quadratic equation is
`f(x)=-2x^(2)+12x-16`

Explanation:

we know that

The standard form of a quadratic equation is

`f(x)=ax^(2)+bx+c`

we have

`f(x)=-2(x-3)^(2)+2`

convert to standard form

`f(x)=-2(x-3)^(2)+2\\f(x)=-2(x^(2) -6x+9)+2\\f(x)=-2x^(2)+12x-18+2\\f(x)=-2x^(2)+12x-16`