University:
Williams College
Course:
MATH 102 | Foundations in Quantitative Skills
Academic year:

2021
Views:

114

Pages:

2
Author:

Nia Clark

Pre-Calculus Parabolas HW Worksheet Name Day 1 Graph the parabola and identify the vertex, directrix, focus, and axis of symmetry. 1. y² = 16x opens R 4p = 16 p = 4 Vertex (0,0) Focus (4,0) Directrix x = -4 Axis of Symmetry y = 0 2. y² = -8x opens L 4p = -8 p = -2 Vertex (0,0) Focus (-2,0) Directrix x = 2 Axis of Symmetry y = 0 3. x² = 12y opens U 4p = 12 p = 3 Vertex (0,0) Focus (0,3) Directrix y = -3 Axis of Symmetry x = 0 4. x² + 16y = 0 x² = -16y 4p = -16 p = -4 Vertex (0,0) Focus (0,-4) Directrix y = 4 Axis of Symmetry x = 0 5. (x - 2)² = 8(y - 1) opens U 4p = 8 p = 2 Vertex (2,1) Focus (2,3) Directrix y = -1 Axis of Symmetry x = 2 6. (x + 1)² = -8(y + 1) opens D 4p = -8 p = -2 Vertex (-1,-1) Focus (-1,-3) Directrix y = 1 Axis of Symmetry x = -1 7. (y + 3)² = 12(x + 1) opens R 4p = 12 p = 3 Vertex (-1,-3) Focus (2,-3) Directrix x = -4 Axis of Symmetry y = -3 8. (y + 1)² = -8x opens L 4p = -8 p = -2 Vertex (0,-1) Focus (-2,-1) Directrix x = 2 Axis of Symmetry y = -1 Write an equation in standard form for the parabola satisfying the given conditions. 9. Focus: (7, 0): Directrix: x = -7 Vertex (0,0) opens R p = 7 y² = 28x 10. Focus: (-5, 0): Directrix: x = 5 Vertex (0,0) opens L p = -5 y² = -20x 11. Focus: (0, 15): Directrix: y = -15 Vertex (0,0) opens U p = 15 x² = 60y 12. Focus: (0, -25): Directrix: y = 25 Vertex (0,0) opens D p = -25 x² = -100y