Grade 11 Math: Parabola Worksheet
This worksheet covers key concepts of parabolas including standard forms, vertex, focus, directrix, and graphing.
Includes
Standards
Parabola Practice
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. A parabola is the set of all points equidistant from a fixed point called the and a fixed line called the .
2. The standard form of a parabola with a vertical axis of symmetry is (x - h)² = 4p(y - k), where (h, k) is the .
3. If p > 0, a parabola with a vertical axis of symmetry opens .
4. Write the equation of a parabola with vertex (0, 0) and focus (0, 3).
5. Find the vertex, focus, and directrix of the parabola y² = -8x.
6. Which of the following equations represents a parabola that opens to the left?
x² = 4y
y² = 4x
x² = -4y
y² = -4x
7. The directrix of a parabola is always perpendicular to its axis of symmetry.
True
False
8. Graph the parabola given by the equation (x + 2)² = 4(y - 1). Clearly label the vertex, focus, and directrix.
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