How do you write f(x) = 2(x+1)^2 - 3 in standard form?

1 Answer
Jim G.
Jun 27, 2017

f(x)=2x^2+4x-1

Explanation:

" the equation of a parabola in standard form is "

• y=ax^2+bx+c ; a!=0

"expand " (x+1)^2" using FOIL"

f(x)=2(x^2+2x+1)-3

color(white)(f(x))=2x^2+4x+2-3larr" distributing"

color(white)(f(x))=2x^2+4x-1larrcolor(red)" in standard form"

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