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Find the vertex. $\newline$ $F(x) = -\frac{1}{2}x^2 +2 -1$

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Add and subtract polynomials

Full solution

Q. Find the vertex.

\newline

F(x) = -\frac{1}{2}x^2 +2 -1

Combine constant terms: The function $F(x) = -\frac{1}{2}x^2 + 2 - 1$ is given. The first step is to combine like terms, which in this case are the constant terms $2$ and $-1$ . $\newline$ Calculation: $2 - 1 = 1$
Simplify function: After combining the constants, the simplified function is $F(x) = -\frac{1}{2}x^2 + 1$ . There are no further like terms to combine, and the $x^2$ term is already in its simplest form.

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