SOLUTION: how do i graph the circle, x^2 + 4y^2 =1

Question 156855: how do i graph the circle, x^2 + 4y^2 =1
Found 2 solutions by Alan3354, Earlsdon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
how do i graph the circle, x^2 + 4y^2 =1
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That's an ellipse.
To graph either, or any curve, you plot a number of points and then connect them with smooth lines.
To find the points, solve for one variable in terms of the other. In this case:
x = sqrt(1 - 4y^2)
You can use Excel to find any # of points, and to make the graph.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You graph "circles" by plotting two graphs as follows:
First, solve the given equation for y:
Subtract x^2 from both sides.
Now divide both sides by 4.
Finally, take the square root of both sides.
or
Now when you graph these two functions, you'll see half the "circle" above the x-axis and the other half "circle" below the x-axis.

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