Posted by priya on Friday, October 22, 2010 at 3:40pm.
i need help doing this question...
a quadratic funtion has these characteristics
axis of symmetry: 1
x=3 is the x int
y= 32 is the maximum value
determine the y int of this parabola.

Grade 11 Math  Reiny, Friday, October 22, 2010 at 4:46pm
your information of "axis of symmetry : 1 " is ambiguous.
the axis of symmetry is a line, so it should be stated as an equation x = 1
I will assume that is what you meant.
vertex is (1,32)
so the equation is
y = a(x+1)^2 + 32
but the xintercept is 3, meaning the point (3,0) lies on it
0 = a(3+1)^2 + 32
a = 32/16 = 1/2
y = (1/2)(x+1)^2 + 32
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