Problems onProblems onPARABOLAPARABOLA

Problem 1: Find the vertex, focus, axis, and directrix of the following parabola: x2 - 4x - 8y + 28 = 0.

Solution for Problem 1Vertex: (2, 3). Focus: (2, 5). Axis: x = 2. Directrix: y = 1.

Problem 2: Find the vertex, focus, axis, and directrix of the following parabola: y2 + 4x - 2y - 3 = 0.

Solution for Problem 2Vertex: (1, 1). Focus: (0, 1). Axis: y = 1. Directrix: x = 2.

Problem 3: Find the vertex, focus, axis, and directrix of the following parabola: x2 - 4y = 0.

Solution for Problem 3Vertex: (0, 0). Focus: (0, 1). Axis: x = 0. Directrix: y = - 1.

Problem 4: Find the vertex, focus, axis, and directrix of the following parabola: x2 - 10x - 2y + 29 = 0

Solution for Problem 4Vertex: (5, 2). Focus: (5, 2.5). Axis: x = 5. Directrix: y = 1.5.

Problem 5: Find the vertex, focus, axis, and directrix of the following parabola: y2 - 16x + 16 = 0.

Solution for Problem 5Vertex: (0, 1). Focus: (4, 1). Axis: y = 1. Directrix: x = - 4.