a quadratic function has 3 characteristics x=-1 is the equation for the axis of symmetry... 3 is the x intercept ...y=32 is the maximum value

Answer 1

x=-1 is the equation for the axis of symmetry

y = a(x+1)^2 + k

y=32 is the maximum value
so a is negative

y = -a(x+1)^2 + 32

3 is the x intercept
This cannot be the only x-intercept, or the maximum value would be 0. So, assuming y(3) = 0,

-a(4^2)+32 = 0
x = 2

y = -2(x+1)^2 + 32

Answer 2

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