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Finn amplituden, perioden og likevektslinja til $f$

amplitude $A = $ [[0]]

periode $p = $ [[1]]

likevektslinje $y = $ [[2]]

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Finn funksjonsuttrykket til denne sinusfunksjonen. NB: for at denne skal kunne rettes automatisk er det her viktig at du bruker det første positive skjæringspunktet mellom grafen og likevektslinja for å beregne verdien av c.

$f (x) = $ [[0]]

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Hint:

Funksjonsutrykket er på formen $f(x)=a\\sin(k x+c)+d$. Dere har allerede funnet verdien av $a$ og $d$ i første deloppgave. Verdien av $k$ kan dere regne ut siden dere har perioden, da $k = \\frac{2\\pi}{p}$.

For å finne $c$ må dere her finne det første positive skjæringspunktet $x_0$ mellom grafen til $f$ og likevektslinja. Denne størrelsen $x_0$ vil være en løsning av likningen $kx+c=0$, dvs at $c = -k x_0$

Se eventuelt denne videoen: Funksjonsuttrykket til en sinusfunksjon

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{eqnline(a, k, c, d)}

Figuren viser grafen til en sinusfunksjon

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