The equation of a parabola is (y−3)2=20(x+1) .
2 answers:
Answer:
The equation of the directrix of the parabola is x=-6.
Step-by-step explanation:
The given equation is
.... (1)
If a parabola is defined as
.... (2)
Where, (h,k) is vertex and the directix of the parabola is x=h-p.
From (1) and (2), we get



The value of p is 5.
The equation of directix is



Therefore the equation of the directrix of the parabola is x=-6.
ANSWER

EXPLANATION
The given parabola has equation:

This parabola opens in the direction of the positive x-axis.
This can be rewritten as:

The vertex is (-1,3)
The directrix of this parabola is


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