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 ) (y8) 2=3(x+5)
B) (y−8) 2=12(x+5) ( y - 8 ) ^ { 2 } = 12 ( x + 5 ) (y8) 2=12(x+5)
C) (x+5) 2=−12(y−8) ( x + 5 ) ^ { 2 } = - 12 ( y - 8 ) (x+5) 2=12(y8)
D) (x+5) 2=−3(y−8) ( x + 5 ) ^ { 2 } = - 3 ( y - 8 ) (x+5) 2=3(y8)
E) (y−8) 2=−12(x+5) ( y - 8 ) ^ { 2 } = - 12 ( x + 5 ) (y8) 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.