Suppose a circle is centered at the vertex (0,0) and has a radius of length 4.

For which points on the circle is the x-coordinate equal to 1? Your first answer should have a positive y-value.

For which points on the circle is the x-coordinate equal to 3? Your first answer should have a positive y-value.

What is the equation of the graph of the circle?

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  1. I will start with the last part:

    equation of the circle is
    x^2 + y^2 = 16

    so if x = 1 ....
    1 + y^2 = 16
    y^2 = 15
    y = √15 , actually ± √15 , but you wanted the positive

    repeat my steps for x = 3

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