Convert the Equation to the Standard Form for a Parabola $$x ^ { 2 } + 2 x - 7 y + 36 = 0$$

question 203

Multiple Choice

Convert the equation to the standard form for a parabola by completing the square on x or y as appropriate.
- $$x ^ { 2 } + 2 x - 7 y + 36 = 0$$

• A) \(( x + 1 ) ^ { 2 } = 7 ( y - 5 )\)
• B) \(( x - 1 ) ^ { 2 } = 7 ( y - 5 )\)
• C) \(( x - 1 ) ^ { 2 } = - 7 ( y - 5 )\)
• D) \(( x + 1 ) ^ { 2 } = 7 ( y + 5 )\)

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Definitions:

Pores

Small openings on a surface, which allow for the passage of gases, liquids, or microscopic particles.

Permeability

A measure of how easily fluids can pass through a porous material or rock.

Compact Sediment

Compact sediment refers to sediment that has been compressed over time due to overlying pressure, reducing its porosity and increasing its density.

Groundwater

Water that collects or flows beneath the Earth's surface, filling the porous spaces in soil, sediment, and rocks.