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Grafy goniometrických funkcií f : y = a.f ( b.x + c) + d

Grafy goniometrických funkcií f : y = a.f ( b.x + c) + d. Mgr. Jozef Vozár 2008. Vplyv koeficientov na tvar a polohu grafu. f : y = a sin(b x + c) + d f: y = a cos(b x + c) + d f: y = a tg (b x + c) + d f: y = a cotg(b x + c) + d. f: y = a sin(b x + c) + d.

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Grafy goniometrických funkcií f : y = a.f ( b.x + c) + d

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  1. Grafy goniometrických funkcií f: y = a.f(b.x + c) + d Mgr. Jozef Vozár 2008

  2. Vplyv koeficientov na tvar a polohu grafu • f: y = a sin(b x + c) + d • f: y = a cos(b x + c) + d • f: y = a tg(b x + c) + d • f: y = a cotg(b x + c) + d

  3. f: y = a sin(b x + c) + d

  4. Vplyv koeficienta a, a=1

  5. a=2

  6. a = 1/2

  7. Koeficient b=1

  8. B = 2

  9. B=1/3

  10. Koeficient c=Π/3

  11. C=Π/4

  12. Koeficient d=1

  13. D=-1/2

  14. f:y=2sin(3x+ Π /4)-1/2

  15. Vplyv koeficientov na tvar grafu goniometrickej funkcie • Koeficient a mení H(f) • Koeficient b mení periódu na p=2Π/b • Koeficient posúva graf po osi x • Koeficient d posúva graf po osi y domov

  16. f: y = a cos(b x + c) + d

  17. f:y=2cos(2x+ Π /4)-1/2 domov

  18. f: y = a tg(b x + c) + d

  19. f:y=2tg(2x+ Π /4)-1/2 domov

  20. f: y = a cotg(b x + c) + d

  21. f:y=2cotg(2x+ Π /4)-1/2 domov

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