Convert the Equation to the Standard Form for a Parabola $$y ^ { 2 } - 4 y - 6 x + 34 = 0$$

question 101

Multiple Choice

Convert the equation to the standard form for a parabola by completing the square on x or y as appropriate.
- $$y ^ { 2 } - 4 y - 6 x + 34 = 0$$

• A) \(( y - 2 ) ^ { 2 } = 6 ( x - 5 )\)
• B) \(( y + 2 ) ^ { 2 } = 6 ( x - 5 )\)
• C) \(( y + 2 ) ^ { 2 } = - 6 ( x - 5 )\)
• D) \(( y - 2 ) ^ { 2 } = 6 ( x + 5 )\)

---

Definitions:

Stream

A body of water flowing in a channel or bed, usually freshwater and moving towards a river, lake, sea, or another stream.

Sediment Size

A classification measure of solid particles in sediments or sedimentary rocks, based on their diameter, ranging from clay to boulders.

Mountain Streams

Fast-flowing bodies of water that originate in mountainous regions, often contributing to the erosion and shaping of the landscape.

Stream Velocities

Stream velocities refer to the speed at which water flows in a stream or river, influenced by gradient, channel geometry, and volume of flow.