2 circles, r = 4, tangent to y^2 = 4x at (1, 2). Find eqns.

[math guy]

can someone help me on this problem

two circles of radiu 4 are tangent to the graph of y^2=4x at the point (1,2). find the equation for these two circles..

 

[stapel]

two circles of radiu 4 are tangent to the graph of y^2=4x at the point (1,2). find the equation for these two circles..

What is the slope of the curve at the point at which the circles are tangent?

Then what is the slope of the radius lines from the centers to that point?

Since the centers are four units from that point, and you have the slope, where then are the centers?

Then what are the circle equations?

If you get stuck, please reply showing all of your work and reasoning so far. Thank you!

Eliz.