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 x-intercept 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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