Answer:
Parabola in vertex form: y = a(x - h)2 + k
Vertex: (h, k) = (3, 2) and (x, y) = (13, 8)
y = a(x - h)2 + k
y = a(x - 3)2 + 2 <== with substitution (h, k) = (3, 2)
8 = a(13 - 3)2 + 2 <== with substitution (x, y) = (13, 8)
8 = a(10)2 + 2
100a = 8 - 2 ==> 100a = 6 ==> a = 6/100 ==> a = 3/50
Parabola in vertex form: y = a(x - h)2 + k
y = (3/50)(x - 3)2 + 2 (Final Answer - Parabola in vertex form)
Step-by-step explanation:
