Hi,

A circle is given as (x - 3)^2 + (y + 4)^2 = 25 with

C(3, -4)

r = 5

A parabola is given as y = x^2 + 2x + a

For which values of 'a' the vertex of the parabola lies on the circle?

Any help appreciated.

Thanks!

Hi,

A circle is given as (x - 3)^2 + (y + 4)^2 = 25 with

C(3, -4)

r = 5

A parabola is given as y = x^2 + 2x + a

For which values of 'a' the vertex of the parabola lies on the circle?

Any help appreciated.

Thanks!

A circle is given as (x - 3)^2 + (y + 4)^2 = 25 with

C(3, -4)

r = 5

A parabola is given as y = x^2 + 2x + a

For which values of 'a' the vertex of the parabola lies on the circle?

Any help appreciated.

Thanks!

- stapel_eliz
**Posts:**1686**Joined:**Mon Dec 08, 2008 4:22 pm-
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mitnord wrote:A circle is given as (x - 3)^2 + (y + 4)^2 = 25 with C(3, -4) r = 5

A parabola is given as y = x^2 + 2x + a

For which values of 'a' the vertex of the parabola lies on the circle?

First,

Then, plug this x-value into each of the two equations. This will give you a

If you get stuck, please reply showing your steps and reasoning. Thank you!