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Find the minimum value of the parabola y=x^2-2 Simplify your answer and write it as a proper fraction improper fraction, or square

Pergunta

Find the minimum value of the parabola y=x^2-2
Simplify your answer and write it as a proper fraction improper fraction, or
square

Find the minimum value of the parabola y=x^2-2 Simplify your answer and write it as a proper fraction improper fraction, or square

Solução

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ThiagoMestre · Tutor por 5 anos

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The minimum value of a parabola $y=ax^{2}+bx+c$ is given by the formula $-\frac{b^{2}-4ac}{4a}$. In this case, $a=1$, $b=0$, and $c=-2$. Substituting these values into the formula, we get $-\frac{0^{2}-4(-2)}{4(1)}=2$. Therefore, the minimum value of the parabola $y=x^{2}-2$ is 2.
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