danielagonz03
danielagonz03 danielagonz03
  • 19-08-2020
  • Mathematics
contestada

What is the correct standard form of the equation of the parabola? Enter your answer below. Be sure to show each step of your work.

What is the correct standard form of the equation of the parabola Enter your answer below Be sure to show each step of your work class=

Respuesta :

surjithayer10 surjithayer10
  • 19-08-2020

Answer:

Step-by-step explanation:

eq. of directrix is y=4 or y-4=0

perpendicular distance of (x,y) from directrix =distance of (x,y) from focus (-3,2)

[tex]| \frac{y-4}{1}|=\sqrt{(x+3)^2+(y-2)^2} \\squaring~both~sides\\y^2-8y+16=(x+3)^2+(y-2)2\\(x+3)^2=y^2-8y+16-(y-2)^2\\(x+3)^2=y^2-8y+16-(y^2-4y+4)\\(x+3)^2=y^2-8y+16-y^2+4y-4\\(x+3)^2=-4y+12\\(x+3)^2=-4(y-3)[/tex]

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