Write the equation in the standard form for a parabola.

1. x = 20y² – 120y + 60

2. y = 27x² -216x + 450

3. Identify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix, and the direction of opening of the parabola with the equation x = 5y² – 20y + 15. Then find the length of the latus rectum and graph the parabola.

4. Identify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix, and the direction of opening of the parabola with the equation y = 6x² + 24x + 18. Then find the length of the latus rectum and graph the parabola.

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