# Andregradsfunksjoner

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link: standardform/teori
link-type: doc
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**Standardform**

^^^
$$
f(x) = ax^2 + bx + c
$$

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link: ekstremalpunktsform/teori
link-type: doc
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**Ekstremalpunktsform**

^^^
$$
f(x) = a(x - x_0)^2 + y_0
$$

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link: nullpunktsform/teori
link-type: doc
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**Nullpunktsform**

^^^
$$
f(x) = a(x - x_1)(x - x_2)
$$

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link: likninger/teori
link-type: doc
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**Andregradslikninger**

^^^

:::{figure} ./likninger/figurer/teori/abc-formel.svg
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:::


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link: ulikheter/teori
link-type: doc
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**Andregradsulikheter**

^^^

$$
(x - 1)(x + 2) < 0
$$


$$
x \in \langle \gets, -2\rangle \cup \langle 1, \gets \rangle
$$

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link: likningssystemer/teori
link-type: doc
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**Ikke-lineære likningssystemer**

^^^

\begin{align*}
x^2 + 2x + 3y &= 2\\
\\
x - y &= 1
\end{align*}


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link: vekstfart/teori
link-type: doc
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**Vekstfart**

^^^

$$
f'(x) = 2ax + b
$$

$$
y - y_1 = a(x - x_1)
$$


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