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1. The function h(x) has the shape of a parabola has a focus of (-7,-4) and directrixat y = -1Determine the equation of h(x) in standard form by correctly choosing the symbols andnumbers from the math bank.Help ASAP

1 The Function Hx Has The Shape Of A Parabola Has A Focus Of 74 And Directrixat Y 1Determine The Equation Of Hx In Standard Form By Correctly Choosing The Symbo class=

Sagot :

Let P (x, y) be any point on the parabola whose focus is (-7,-4,) and the directrix y+1 = 0.

As we already know that the distance of a point P from focus = distance of a point P from directrix

[tex]\sqrt[=]{(y+1)^2}\text{ =}\sqrt[+]{(x+7)^2+(x+4)^2}[/tex][tex](y+1)^2=(x+7)^2+(x+4)^2[/tex][tex]y^2+1+2y=x^2+7x+49+x^2+16+4x[/tex][tex]y^2+2y=2x^2+11x+64[/tex][tex]y(y+2)=2x^2+11x+64[/tex][tex]y=\frac{2x^2+11x+64}{y+2}[/tex]

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