Find an equation for all lines which pass through the point (2,3) and are tangent to the parabola y=x^2

This is a trick question because the point (2,3) is not on the parabola.

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- September 20th 2009, 03:04 PMyelocFinding tangent lines
Find an equation for all lines which pass through the point (2,3) and are tangent to the parabola y=x^2

This is a trick question because the point (2,3) is not on the parabola. - September 20th 2009, 03:06 PMmr fantastic
- September 20th 2009, 03:09 PMyeloc
So there should be two tangent lines right? One with a positive slope and the other with a negative slope?

How do you determine where the tangent line crosses the parabola? - September 20th 2009, 03:11 PMhairymclairy
- September 20th 2009, 03:14 PMskeeter
- September 20th 2009, 03:18 PMyeloc
- September 20th 2009, 03:23 PMskeeter
- September 20th 2009, 03:44 PMyeloc
Which equation do you use to find the y values after getting the two x values?

- September 20th 2009, 03:56 PMmr fantastic