Question

Can someone help me please

Answer 1

9514 1404 393

Answer:

1. 24x = y^2
2. -15y = x^2
3. 28y = x^2
4. -4x = y^2
5. 8x = y^2
6. -20y = x^2

Explanation:

There are two cases here. In one case, the focus has a non-zero x-coordinate, so the parabola opens left or right (depending on the sign). In the other case, the focus has a non-zero y-coordinate, so the parabola opens up or down (depending on the sign).

We can write the equations for each of the two cases.

For focus (a, 0), the equation can be written ...

4ax = y^2

For focus (0, a), the equation can be written ...

4ay = x^2

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1. 24x = y^2 . . . . first form
2. -15y = x^2 . . . . second form
3. 28y = x^2 . . . . second form
4. -4x = y^2 . . . . first form
5. 8x = y^2 . . . . first form
6. -20y = x^2 . . . . second form