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Jackson is deriving the equation of a parabola. Given point A(x,y) on the parabola and a focus F(0,p), which expression gives the distance between the focus and point A? please help

Jackson is deriving the equation of a parabola Given point Axy on the parabola and a focus F0p which expression gives the distance between the focus and point A class=

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elcharly64

Answer:

Correct answer: Option b

Step-by-step explanation:

Distance Between Two Points

Given two points A=(ax,ay) and B=(bx,by), the distance between them can be computed by the Pythagoras's formula

[tex]\displaystyle d=\sqrt{(bx-ax)^2+(by-ay)^2)}[/tex]

The points of the question are A(x,y) and F(0,p), thus applying the formula:

[tex]\displaystyle d=\sqrt{(x-0)^2+(y-p)^2)}[/tex]

[tex]\boxed{\displaystyle d=\sqrt{x^2+(y-p)^2)}}[/tex]

Correct answer: Option b