Detailed explanation below
6-2x=5x-9x+12 what is the value of x its for savvas realize
2 answers:
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Answer:
The coordinates of the focus are anf the equation of the directrix is
, respectively.
Step-by-step explanation:
Let be , which represents a parabola with a horizontal axis of symmetry. To find the location of the focus and to determine the equation of the directrix we must find the distance between focus and vertex (
), dimensionless, a value than can be extracted from the following definition:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
,
- Coordinates of the vertex, dimensionless.
By direct comparison, we get the following coincidences:
(Eq. 2)
From (Eq. 2) we get that distance between focus and vertex is:
Which is consistent with the fact parabola has an absolute maximum.
Now, the location of the focus is:
(Eq. 3)
If know that ,
and
, coordinates of the focus is:
And the equation of the directrix is represented by:
(Eq. 4)
()
The coordinates of the focus are anf the equation of the directrix is
, respectively.