Question

Find an equation of a parabola satisfying the given information. Focus (9,0), Directories X= -9

Answer 1

Let x₀ y₀ be any point on the parabola.

We will find the distance between (x₀ y₀) and the focus and then find the distance between (x₀ y₀) and the directrix,. Finally we will equate the two equations and solve for x₀ y₀

Using the distance formula

`|d|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

The distance between (Tx₀ y) and (9,0) is

`\sqrt[]{(x_0-9)^2+(y_0-0)^2}`

The distance between (x₀ y₀) and the directories x=-9 is

|tx + 9|

Next, is to equate the two expressions

t

`\sqrt[]{(x_0-9)^2+y^2_0}`

the