Pregunta
Identify the focus and directrix of the parabola whose equation is
.
(1 point)
focus:
; directrix:
focus:
; directrix:
focus:
; directrix:
focus:
; directrix:
(1 point)
focus:
focus:
focus:
focus:
Ask by Dawson Huang. in the United States
Jan 04,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The focus is at
and the directrix is
.
Solución

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Como
Bonus Knowledge
To identify the focus and directrix of the given parabola, we start with the equation
. This can be rewritten in standard form, indicating that it opens to the left since the coefficient of
is negative.
The vertex of the parabola is at the point
. For parabolas in the form
, we see that
, which means
. The focus, located
units from the vertex, is then at
, and the directrix, being a vertical line
units to the right of the vertex, is given by
or
.
So, the focus is at
and the directrix is
.
Thus, the correct choice is:
focus: ; directrix:
.
focus:

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