Parabola: Grade 12 Math Worksheet
This worksheet covers key concepts of parabolas, including equations, graphing, and properties, suitable for Grade 12 math students.
Includes
Standards
Parabola Practice: Grade 12
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Date:
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. What is the standard form of a parabola with a vertical axis of symmetry?
(x-h)² = 4p(y-k)
(y-k)² = 4p(x-h)
Ax² + By² = C
y = mx + b
2. The focus of the parabola x² = 8y is:
(0, 2)
(2, 0)
(0, -2)
(-2, 0)
3. The is a fixed point not on the parabola, and the is a fixed line not intersecting the parabola.
4. The vertex of the parabola (y+3)² = -12(x-1) is at the point .
5. Find the equation of the parabola with vertex at the origin and focus at (0, -4).
6. Describe the key features (vertex, focus, directrix, axis of symmetry) of the parabola (x-2)² = 16(y+1).
7. Graph the parabola y² = -4x on the coordinate plane below. Label the focus and directrix.
8. The axis of symmetry for a parabola always passes through the focus and the vertex.
True
False
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