Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A parabola is given by the equation y = x2 + 4x + 4.
The vertex of the parabola is _. The focus of the parabola is _. The directrix of the parabola isgiven by the equation y = _.

Note: Separate coordinates inside parentheses with a comma.

Answer 1

Hello,

What you have is a quadratic equation. First let us obtain the vertex, to find the x-vertex it can be done by using: \[\dfrac{-b}{2a}\] After you get the x-vertex, you need the y-vertex to create the coordinate pair, you can obtain the y-vertex by subbing the new found x-vertex into your original equation.

Tell me what you get so I can check it you understood that much so far, if not I can break it down into pieces.

Answer 2

i got
-4/2
@Algorithmic

Answer 3

wait is the vertex (-2,0)
focus -2
and the directrix -1/4?
@Algorithmic