Question

Find an equation of the circle and sketch it if it has:
Center on y=4, tangent x-axis at (–2, 0)

Answer 1

Answer:

Since the circle is tangent to the x axis and the radius is 4 the center must lie on either y=4 or y=-4.

The point (-5,8) tells us the circle is above the x axis so the y portion of the coordinate =4

Finally since (-5,8) is 8 units from the x axis and the diameter is 8 (twice the radius), we know that x=-5 must be the x value of the center coordinate.

(x-h)^2+(y-k)^2=r^2

so

(x+5)^2+(y-4)^2= 16

I hope that helps!

Step-by-step explanation:

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