Question

what is vertix
of the para bala
bola x² 4ay
is​

Answer 1

Answer:

The given equation of the parabola is x^2 = 4by

For obvious reasons, vertex of any parabola is defined as the point where the slope of the curve becomes zero or changes sign.

Here,

x^2 = 4ay

or,

y= x^2/4a

So,

dy/dx = 2x/4a = x/2a

Clearly, this curve will have its slope zero at x=0

Hence, this parabolic curve will have its vertex as (0,0)

We obtained also the ordinate (y-coordinate) to be zero by putting in x=0 in the equation of the given parabola and hence we obtained the desired answer (0,0)

Answer 2

Step-by-step explanation:

the given parabola x square =6y

x square =4. 3/2 y

compare the above equation with standard form of parabola x square =4ay,we get ,a=3/2

therefore ,the axis of parabola is along positively y-axis and its equations is x=0

the coordinates of vertices are (0,0) and the coordinates of its focus are (0,3/2) the length of its latest rectum =4a=4.3/2=6 units and the equation of its directories is y=-a then y=-3/2 then y + 3/2 =0 then 2y+3=0.

here the x vertix mean where the parabola point crosess its axis of symmetry

I think this information will help u to understand and learn the process

easily