Final answer to the problem
$f\left(x\right)=-x^2+2x+3$
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Apply the formula: $\left(a+b\right)^2$$=a^2+2ab+b^2$, where $a=x$, $b=-1$ and $a+b=x-1$
$f\left(x\right)=-\left(x^2-2x+1\right)+4$
Learn how to solve expressions algébriques problems step by step online.
$f\left(x\right)=-\left(x^2-2x+1\right)+4$
Learn how to solve expressions algébriques problems step by step online. f(x)=-(x-1)^2+4. Apply the formula: \left(a+b\right)^2=a^2+2ab+b^2, where a=x, b=-1 and a+b=x-1. Apply the formula: -\left(a+b\right)=-a-b, where a=x^2, b=-2x+1, -1.0=-1 and a+b=x^2-2x+1. Apply the formula: -\left(a+b\right)=-a-b, where a=-2x, b=1, -1.0=-1 and a+b=-2x+1. Apply the formula: a+b=a+b, where a=4, b=-1 and a+b=-x^2+2x-1+4.
Final answer to the problem
$f\left(x\right)=-x^2+2x+3$
