Grade 11 Math

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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 -

    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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