Write an equation of the parabola $y = a ( x - h ) ^ { 2 } + k$ that satisfies the conditions. Vertex: (2,6) ; a=1
A) $y = ( x + 2 ) ^ { 2 } + 6$
B) $y = ( x + 6 ) ^ { 2 } + 2$
C) $y = ( x - 6 ) ^ { 2 } + 2$
D) $y = ( x - 2 ) ^ { 2 } + 6$
E) $y = ( x + 2 ) ^ { 2 } - 6$

Question

Quizplus · Accepted Answer

The standard equation for a parabola is given by $y = a ( x - h ) ^ { 2 } + k$, where (h, k) is the vertex. Therefore, substituting the given values of h, k, and a, we get $y = 1 ( x - 2 ) ^ { 2 } + 6$, which simplifies to $y = ( x - 2 ) ^ { 2 } + 6$. Thus, the best choice is D.

Write an Equation of the Parabola y=a(x−h)2+ky = a ( x - h ) ^ { 2 } + ky=a(x−h)2+k

Write an Equation of the Parabola $y = a ( x - h ) ^ { 2 } + k$