Asked by Precious Mukuka on Sep 23, 2024
Write the standard form of the equation of the parabola with focus (-5,5) and its vertex at (-5,8) .
A) (y−8) 2=−3(x+5) ( y - 8 ) ^ { 2 } = - 3 ( x + 5 ) (y−8) 2=−3(x+5)
B) (y−8) 2=12(x+5) ( y - 8 ) ^ { 2 } = 12 ( x + 5 ) (y−8) 2=12(x+5)
C) (x+5) 2=−12(y−8) ( x + 5 ) ^ { 2 } = - 12 ( y - 8 ) (x+5) 2=−12(y−8)
D) (x+5) 2=−3(y−8) ( x + 5 ) ^ { 2 } = - 3 ( y - 8 ) (x+5) 2=−3(y−8)
E) (y−8) 2=−12(x+5) ( y - 8 ) ^ { 2 } = - 12 ( x + 5 ) (y−8) 2=−12(x+5)
Parabola
A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side; its general equation is \(y = ax^2 + bx + c\).
Focus
A point used in the definition of a curve or shape, such as an ellipse or parabola, that helps determine its form.
- Acquire knowledge on the standard configurations of parabolic equations and their association with the focus and vertex.
Learning Objectives
- Acquire knowledge on the standard configurations of parabolic equations and their association with the focus and vertex.