consider the parabola that is the set of all points that are equidistant from the point (2,0) and the line x= -4.

identify he coordinates of the vertex of this parabola. explain your reasoning

parabola that is the set of all points that are equidistant from the point (2,0) and the line x= -4.

Therefore, the equation of the parabola with focus (a , b) and directrix y = c is

(x+2)^2+0-16= 1(4)y

4y=x^2+4x-12

y= 1/4x^2+x-3

y=ax^2+bx+c

coordinates= x= -b/2a=-(1)*4=-4

y= 1/4*16+-4-3= 4-4-3= -3

ccordinates= (-4,-3)

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