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

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

Answer:

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

Step-by-step 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

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

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