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Question 729989: y=1/4xsquared Find the vertex, focus, and directrix. Steps to graph the parabola.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! y=1/4xsquared Find the vertex, focus, and directrix. Steps to graph the parabola.
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y=x^2/4
x^2=4y
this is a parabola that opens upward
Its basic form of equation: (x-h)^2=4p(y-k), (h,k)=(x,y) coordinates of the vertex.
For given equation:x^2=4y:
vertex:(0,0)
axis of symmetry: x=0 or y-axis
4p=4
p=1
focus: (0,1) (p-distance above vertex on the axis of symmetry)
directrix: y=-1 (p-distance below vertex on the axis of symmetry)
To graph the curve, plug in small x-values like ±2 to get two points on the curve.
With coordinates of the vertex and these 2 points you can draw the graph.
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