Respuesta :
the general form for this parabola ix x^2 = 4ay where the focus is (0,2)
a = 2 so we have:-
x^2 = 4(2)y
y = (1/8) x^2 is the answer.
a = 2 so we have:-
x^2 = 4(2)y
y = (1/8) x^2 is the answer.
The equation of the parabola with vertex (0, 0) and focus (0, 2) is [tex]\bold{x^2=8y}[/tex]
What is parabola?
"It is curve formed by moving a point such that its distance from a fixed point is equal to its distance from a fixed-line."
Equation of parabola:
The equation of the parabola with vertex (0, 0) and and focus (0, a) is,
[tex]x^2 = 4ay[/tex]
For given example,
Vertex of the parabola = (0, 0)
the focus of the parabola = (0, 2)
Comparing the focus of the parabola with (0, a),
⇒ a = 2
Using the standard equation of parabola,
⇒ [tex]x^2=4ay[/tex]
⇒ [tex]x^2=4\times 2 \times y[/tex]
⇒ [tex]x^2=8y[/tex]
Therefore, the equation of the parabola is [tex]x^2=8y[/tex] .
Learn more about parabola here:
https://brainly.com/question/20333425
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