SOLUTION: Find the coordinates of the vertex: y=-2(x+2)^2 +2

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Question 116774: Find the coordinates of the vertex: y=-2(x+2)^2 +2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since the quadratic is in vertex form a%28x-h%29%5E2%2Bk where (h,k) is the vertex, we can use this general formula to find the vertex of y=-2%28x%2B2%29%5E2+%2B2

y=-2%28x%2B2%29%5E2+%2B2 Start with the given equation


y=-2%28x-%28-2%29%29%5E2+%2B2 Rewrite +2 as -(-2)

Notice how h=-2 and k=2. So the vertex is (-2,2)


Notice if you graph the equation y=-2%28x%2B2%29%5E2+%2B2 you can see that the vertex is (-2,2). So this verifies our answer.