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# Conic Sections watch

1. 4. The parabola y2 = 8x is transformed by a vertical stretch, scale factor 2, and then a horizontal translation of -1 unit. Write down the equation of the resulting parabola in the form y = f(x).
(this is not an exam question)

y = 4 √2(x+1)

What did I screw up this time?
2. i would make y the subject first ?

y = ± √ ( 8x )

then stretch

y = ± 2√ ( 8x )

then shift to the left

y = ± 2√ ( 8{x + 1} )
3. (Original post by ckfeister)
4. The parabola y2 = 8x is transformed by a vertical stretch, scale factor 2, and then a horizontal translation of -1 unit. Write down the equation of the resulting parabola in the form y = f(x).
(this is not an exam question)

y = 4 √2(x+1)

What did I screw up this time?
Should be instead. Your working suggests it's a vertical stretch by a factor of 1/2.
4. (Original post by RDKGames)
Should be instead. Your working suggests it's a vertical stretch by a factor of 1/2.

1.a) Sketch the ellipse where a = 3 and b = 2

b) Write down (i) the length of the major axis

(ii) the length of the minor axis

c) Draw the line y = x on your sketch.

d) Find the co-ordinates of the points of intersection of the line and the ellipse.

e) Reflect the ellipse in the line y = x and write down the equation of the resulting ellipse.

I'm on d)
Somehow the x values are x = 2,3... how?
5. (Original post by ckfeister)
1.a) Sketch the ellipse where a = 3 and b = 2

b) Write down (i) the length of the major axis

(ii) the length of the minor axis

c) Draw the line y = x on your sketch.

d) Find the co-ordinates of the points of intersection of the line and the ellipse.

e) Reflect the ellipse in the line y = x and write down the equation of the resulting ellipse.

I'm on d)
Somehow the x values are x = 2,3... how?
Because . Take as a counterexample.
6. (Original post by RDKGames)
Because . Take as a counterexample.
?
7. (Original post by RDKGames)
Because . Take as a counterexample.
Only different I get is its x = +- square root 5/6
8. (Original post by RDKGames)
Because . Take as a counterexample.
Wait, the answer is x = +-1.6666, not 2,3 but I still get x = +-5/6
9. (Original post by ckfeister)
?
No, that is not how you square root addition of two different variables.

Since y=x you just have so just solve for x.

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