What is the simplified form of the following expression? sqrt 1/144

Rewrite using the quotient rule for radicals.√1/√144Any root of 1 is 1.1√144Simplify the denominator.The result can be shown in both exact and decimal forms.Exact Form:1/12Decimal Form:0.08333333333333

See below

Step-by-step explanation:

Equation of (y - k)^2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p

Given is the parabola:

(y + 1)^2 = (x + 2)

It has a vertex at (-2, -1)

New vertex (-1, -1) requires translation to the right by 1 unit. Which changes the function to:

(y + 1)^2 = (x + 2 - 1) ⇒ (y + 1)^2 = (x + 1)

For this function the focus and directrix is:

(y + 1)^2 = (x + 1)k = -1, p = 1/4, h = -1

Focus is

(h +p, k) = (- 0.75, -1)

Directrix is:

x = -1 - 1/4 = - 1.25