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

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:

$x^{2}-2py= 2py \\ \\ x^{2} =2py+2py \\ \\ x^{2} =4py$

Answer 2

Answer:A. x2=4py

Step-by-step explanation: