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A parabola can be drawn given a focus of (4, -7) and a directrix of y = -5. Write the equation of the parabola in any form.

Sagot :

Nepalieducation

Answer:

-1/4(x-4)²-b

Step-by-step explanation:

Here,

The vertex of parabola is (4,-7)

Suppose that the equation of parabola is a(x-4)²-b

Now,

[tex]y=a(x-4)^{2} -b\\\\a=\frac{1}{-7-(-5)*2}\\\\a=\frac{1}{-7+5*2} \\\\a=-\frac{1}{4} \\[/tex]

Replacing value of a.

Hence,y=-1/4(x-4)²-b

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