For each of the following equations.
Find the coordinates of the vertex of the curve it describes.
Find the x− intercepts.
Find the y− intercept.
Find the equation of the line of symmetry.
Use all this information to sketch the graph of the function.
y =2−(x −3)^2

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  1. This is just a parabola opening downward.
    The given equation is in vertex form, so just read off the vertex from that.
    when x=0, y=?
    When y=0, x-3 = ±√2
    The line of symmetry goes through the vertex.

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  2. thanks

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