Question

Finding the vertex focus directrix and acts of symmetry of the parabola

Answer 1

Step-by-step explanation:

a) Here, we want to find the equation of the directrix of the parabola.

We have that as follows:

`(x-2)\placeholder{⬚}^2=\text{ -\lparen y+1\rparen}`

We compare the above with the following:

`(x-h)\placeholder{⬚}^2=4p(y-k)`

what we have here will be:

h = 2, k = -1 and p = -1/4

Directrix:

y = k-p

y = -1 + 1/4 = -3/4

b) Vertex

We have the vertex as (h,k)

`(2,-1)`

c) Focus