Question

The derivation for the equation of a parabola with a vertex at the origin is started below. = (x)2 + (y – p)2 = (0)2 + (y + p)2 x2 + y2 – 2py + p2 = y2 + 2py + p2 If the equation is further simplified, which equation for a parabola does it become? x2 = 4py x2 = 2y2 + 2p2 y2 = 4px y2 = 4py

Answer 1

Answer:A. x2=4py

Explanation:

Answer 2

Correct Answer: First Option

The given expression is


`x^(2) + y^(2) -2py+ p^(2)= y^(2) +2py+ p^(2)`

Simplifying the expression we get:


`x^(2)-2py= 2py \\ \\ x^(2) =2py+2py \\ \\ x^(2) =4py`