Question
How to graph circle 4x^2+y^2=4
Answers
GPT 3.5
To graph the circle with the equation 4x^2 + y^2 = 4, we first need to write it in standard form, which is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle and r is the radius.
First, divide the equation by 4 to make the coefficient of x^2 as 1:
x^2/1 + y^2/4 = 1
Now rewrite the equation as:
(x-0)^2/1 + (y-0)^2/4 = 1
So, the center of the circle is at (0,0) and the square root of the denominators gives us the radius, which is 1 in the x-direction and 2 in the y-direction.
To graph the circle, plot the center at (0,0) and draw a circle with radius 1 in the x-direction and 2 in the y-direction. This will give you the graph of the circle with the equation 4x^2 + y^2 = 4.
First, divide the equation by 4 to make the coefficient of x^2 as 1:
x^2/1 + y^2/4 = 1
Now rewrite the equation as:
(x-0)^2/1 + (y-0)^2/4 = 1
So, the center of the circle is at (0,0) and the square root of the denominators gives us the radius, which is 1 in the x-direction and 2 in the y-direction.
To graph the circle, plot the center at (0,0) and draw a circle with radius 1 in the x-direction and 2 in the y-direction. This will give you the graph of the circle with the equation 4x^2 + y^2 = 4.