Integrated Math 1
posted by Tifini on .
Suppose a parabola has its vertex at (0, 1) and its zeros at x = 3 and x = 3. Then equals _____.
A. 9x^2
B. 11/9x^2
C. x^21
D. x^29

vertex at (0,1) means y = ax^2 + 1 where a>0.
since y=0 when x=3, we have
y = 1/9 x^2 + 1
(B) 
B. Y = 1(1/9)x^2 = 1  x^2/9.
V(0,1).
When Xv = 0,
Y = 10/9 = 1.
When X = 3,
Y = 1  (3)^2 / 9 = 11 = o.
When X = 3,
Y = 1 3^2 / 9 = 1  1 = 0.
Choice B satisfies all requirements.
Therefore,the answer is B.