Question 1183874
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The y value is 1 for both x=-1 and x=1; that means the line of symmetry is the y-axis.  Then the equation is of the form y=ax^2+b.<br>
Plug in the x and y values of any two of the given three points to get two equations in a and b and solve the pair of equations.<br>
(1,1): 1 = a+b
(3,9): 9 = 9a+b<br>
8 = 8a
a=1<br>
1 = 1+b
b = 0<br>
The quadratic equation is y = ax^2+b = 1x^2+1 = x^2<br>
ANSWER: y=x^2<br>