Title: Seventh Partial Exam
Course: 2025 Probabilidad y Estadística

Q: The equation \( x^2-18y=0 \) belongs to:
- Vertical Parabola
- Horizontal Parabola
- Vertical Ellipse
- Horizontal Ellipse
A: Vertical Parabola

Q: The coordinate of the focus in the parabola \(y^2+36x=0\) is:

Input your answer in the form (x,y). Do not leave spaces. Do not name the point.
A: (-9,0) / F(-9,0)

Q: The value of p in the parabola \(5x^2+120y=0\) is:

Just input the numerical value.
A: -6

Q: The length of the Latus Rectum (focal diameter) of the parabola \(y^2=-75x\) is:
A: 75

Q: Determine the endpoints of the Latus Rectum of the parabola whose equation is \(y^2-16x=0\)

Input just the coordinates, with no spaces, separated with commas. (a,b),(c,d).
A: (4,8),(4,-8) / (4,-8),(4,8)

Q: Determine the equation of the parabola whose vertex is (2,5) and focus is (2,9). 
- \(y^2-16x-10y+57=0\)
- \(x^2-4x-16y+84=0\)
- \(y^2+16x-10y-7=0\)
- \(y^2-16x-18y+113=0\)
A: \(x^2-4x-16y+84=0\)

Q: Determine the equation of the directrix for the parabola whose equation is \(x^2-4x-16y+84=0\)
A: y=1

Q: Determine the Latus rectum of the parabola whose equation is \(x^2+8x-48y+96=0\).

Just input the numerical value.
A: 48

Q: Determine the coordinate of the vertex of the parabola whose directrix is x=-8 and focus is (4,10).

Just input the coordinate in the form (h,k).
A: (-2,10) / V(-2,10)

Q: The [...] is the locus of a moving point that is equidistant to a static point called [...] and to a line called [...]. The vertex and focus are aligned in the [...]. The length of [...] is |4p|.
Also offered: vertex; endpoints
A: parabola; focus; directrix; axis of symmetry; Latus Rectum