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Question Number 80927 by peter frank last updated on 08/Feb/20

Commented by john santu last updated on 08/Feb/20

$$f\left(x\right)={ax}^4+{bx}^3+{cx}^2+dx+4$$$$tangentlineparalleltox-axis$$$$f{}^{\prime }\left(x\right)=4{ax}^3+3{bx}^2+2cx+d=0$$$$forx=1andx=-2$$$$\Rightarrow 4a+3b+2c+d=0$$$$\Rightarrow -32a+12b-4c+d=0$$$$inflectionpointat(3,0)$$$$f{}^{″}\left(x\right)=12{ax}^2+6bx+2c=0forx=3$$$$108a+18b+2c=0$$$$paralleltoy=2x+3at(0,-1)$$$$2=d$$$$ithinkyoucansolveitnow$$$$$$

Commented by peter frank last updated on 08/Feb/20

$$thankyou$$

Answered by ajfour last updated on 08/Feb/20

$$y\left(0\right)=-1or4?$$

Commented by peter frank last updated on 08/Feb/20

$$idontknowsirhelp$$$$me$$

Commented by peter frank last updated on 08/Feb/20

$$andQn80930$$

Commented by Kunal12588 last updated on 08/Feb/20

$$ifthecurvesatisfyiesboth(0,4)and(0,-1)$$$$thenthe{eq}^{n}mustbeimplicit.thenI{don}^{\prime }t$$$$thinkwecantakethe{eq}^{n}assirjohntook.$$

Commented by ajfour last updated on 08/Feb/20

$$(0,4)and(0,-1)$$$$thanksforunderstandingmy$$$$confusionKunal,(whererufrom,$$$$imeannativeplace?)$$

Commented by Kunal12588 last updated on 08/Feb/20

$$IamfromBhilai,Chhattisgarh,India,$$$$Asia,Earth,Milkyway\left(I{don}^{\prime }tafterthis\right),wellIbelieveinmultiverse$$$$hahalol:)$$

Commented by ajfour last updated on 08/Feb/20

$$pleasuretoknow,iaskedcoz$$$$therewasanothermemberby$$$$thenameKunal..whomiknew,$$$$andbelongedtomytown,so$$$$justtoconfirm..$$

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