The standard form of a parabola is
y = a(x - h)² + k
where the vertex is (h,k)
Substitute (h,k)= (2,3), (x,y) = (0,2) into
the standard form:
y = a(x - h)² + k
2 = a(0 - 2)² + 3
2 = a(-2)² + 3
2 = a(4) + 3
2 = 4a + 3
-1 = 4a
= a
= a
Substitute a = , h = 2, k = 3 in
y = a(x - h)² + k
y = (x - 2)² + 3
Edwin
