SOLUTION: Find the critical point of the function {{{y=-2(x-1)^2 -3}}} Then, determine whether the point represents a maximum, minimum, or a point of inflection. Okay, I did this problem

Question 592753: Find the critical point of the function Then, determine whether the point represents a maximum, minimum, or a point of inflection.
Okay, I did this problem by hand and simplified the equation down to -2x^2+4x-7 using order of operations; I squared x-1, multplied the answer by -2, and subtracted 3 from that answer. Then I tried using the quadratic formula, but it didn't turn out. So I graphed my simplified equation (-2x^2+4x-7) and came up with an upside-down hyperbola with the max point at -5. Is this my answer? And if it is, how do I show my work for this since I used my calculator to graph?
If this is wrong, please show me where I strayed and how to get to the correct answer. Any help you can give me will be greatly appreciated. Thank you and God bless you for your time!
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
y = -2x^2+4x-5 not -7
so you are off by 2
the vertex is 1,-3

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