# ¨Precalculus - Vergelijkingen van Kegelsneden - HF4

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## Description and Tags

### 4 Terms

1

Cirkel

(x-x0)² + (y-y0)² = r²

• Middelpunt (x0,y0)

• Straal = r

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2

Ellips

(x-x0)²/a² + (y-y0)²/b² = 1

• Middelpunt (x0,y0)

• Toppen grote as = a

• Toppen kleine as = b

Bij een ellips zijn de toppen inbegrepen, indien niet, heb je een cirkel

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3

Parabool

f(x) = a(x-h)² + k of (x-x0)² = 4p(y-y0)

• h = richtlijn

• k = verticale verschuiving

• a = richtingscoëfficiënt

• p = vaste afstand tussen je richtlijn en je brandpunt

• (x0,y0) = top

Let op bij een parabool is enkel één variabele gekwadrateerd

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4

Hyperbool

(x-x0)²/a² - (y-y0)²/b² = 1

Een hyperbool “)(“ is gewoon het tegengestelde van een ellips “()” 😄

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