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# Two questions with parabolas. watch

1. I'm confused especially where it says sketch the curveS - is it expecting me to sketch y=x^2-2x+1 and y^2+2y?

Can this not just be solved by writing it in the Cartesian form for a circle, and the point is where the circle touches the x axis?

------------------------

Here's what I did.

The shortest distance will be the normal to the parabola.

And it passes through the origin so the line is:

(confused here, shouldn't it be y=ax?)

But anyway, subbing that value for y into our y(x)

Which gives y values of both 1.

Meaning the line segment is..

Is this right? Can anyone confirm?
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2. (Original post by SamKeene)

I'm confused especially where it says sketch the curveS - is it expecting me to sketch y=x^2-2x+1 and y^2+2y?

Can this not just be solved by writing it in the Cartesian form for a circle, and the point is where the circle touches the x axis?

------------------------

Here's what I did.

The shortest distance will be the normal to the parabola.

And it passes through the origin so the line is:

(confused here, shouldn't it be y=ax?)

But anyway, subbing that value for y into our y(x)

Which gives y values of both 1.

Meaning the line segment is..

Is this right? Can anyone confirm?
although I did it differently i get exactly the same

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Updated: January 19, 2015
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