SOLUTION: Draw the parabola. Identify the focus and directrix and show them on the graph. x+1/4y^2=0 Also find the focus: Directrix:

Question 456944: Draw the parabola. Identify the focus and directrix and show them on the graph.
x+1/4y^2=0
Also find the
focus:
Directrix:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Draw the parabola. Identify the focus and directrix and show them on the graph.
x+1/4y^2=0
Also find the
focus:
Directrix:
..
x+1/4y^2=0
y^2/4=-x
y^2=-4x
..
Standard form for parabola: (y-k)^2=4p(x-h), with (h,k) being the (x,y) coordinates of the vertex.
For given parabola:
vertex at (0,0)
Axis of symmetry, y=0 or x-axis
Parabola opens leftward
4p=4
p=1
focus, (-1,0)
directrix, x=1
see following graph as a visual check on the answers.
..
y=(-4x)^.5

RELATED QUESTIONS
draw the graph of the parabola y*y+4x=0 also findn it's focus and directrix? (answered by josgarithmetic)

graph the parabola and identify the vertex, focus, directrix:... (answered by lwsshak3)

Find the focus, directrix, and focal diameter of the parabola. 9x + 7y2 = 0 focus (x,... (answered by Fombitz)

2y2-4y-2=x how do i graph this parabola, and identify the vertex, focus, andd... (answered by lwsshak3)

Identify the focus, directrix, and axis of symmetry then graph the parabola... (answered by lwsshak3)

Find the vertex, focus, and directrix of the parabola.... (answered by lwsshak3)

What are the focus and the directrix of the graph of x = 1/24y^2? focus (0, �6),... (answered by lwsshak3)

What are the focus and the directrix of the graph of x = 1/24y^2? focus (0, �6),... (answered by jsmallt9)

Find the vertex, focus, directrix, and focal width of the parabola. Show the graph. {{{... (answered by MathLover1)