the vertex of a parabola is at the origin and Q(3,-2) is a point on the parabola. Find the equation and focus of this parabola if the focus is on the negative s
Matematika
alifahhapsari
Pertanyaan
the vertex of a parabola is at the origin and Q(3,-2) is a point on the parabola. Find the equation and focus of this parabola if the focus is on the negative side of the y-axis
1 Jawaban
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1. Jawaban Takamori37
Vertex origin = Pusat(0,0)
Melalui (3,-2)
Parabola terbuka ke kiri
[tex]y^2=4px \\ (-2)^2=4p(3) \\ 4=12p \\ p=\frac{1}{3} \\ $Persamaan umum:$ \\ y^2=-4px \\ y^2=-\frac{4}{3}x \\ $Fokus : $(0-p,0) \\ $Fokus : $(-\frac{1}{3},0)[/tex]