Question

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

Answer 1

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

$\displaystyle d=\sqrt{(bx-ax)^2+(by-ay)^2)}$

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

$\displaystyle d=\sqrt{(x-0)^2+(y-p)^2)}$

$\boxed{\displaystyle d=\sqrt{x^2+(y-p)^2)}}$

Correct answer: Option b