Question

find the equation of paragora with vertex origin,axis along y axis and passing through the point (10 -5)​

Answer 1

Step-by-step explanation:

Given that vertex at origin the axis is along y - axis.

So, equation of parabola is of the form

x² = 4ay

Point (10,-5) will satisfy the equation of parabola.

Putting x = 10, y = -5 in (1), we get

(10)² = 4 * a * -5

⇒ 100 = a * -20

⇒ a = -5

Putting value of a = -5 in (1), we get

x² = 4 * -5 * y

x² = -20y

Hope it helps!