For the function f (x) = - 2 (x + 3) ^2 - 1, identify the vertex, domain, and range. A.) The vertex is (3, - 1), the domain is all real numbers, and the range is y ≥ - 1. B.) The vertex is (3, - 1), the domain is all real numbers, and the range is y ≤ - 1. C.) The vertex is (-3, - 1), the domain is all real numbers, and the range is y ≤ - 1. D.) The vertex is (-3, - 1), the domain is all real numbers, and the range is y ≥ - 1

Question

Mathematics

Elaine Camacho

2 January, 01:32

For the function f (x) = - 2 (x + 3) ^2 - 1, identify the vertex, domain, and range. A.) The vertex is (3, - 1), the domain is all real numbers, and the range is y ≥ - 1. B.) The vertex is (3, - 1), the domain is all real numbers, and the range is y ≤ - 1. C.) The vertex is (-3, - 1), the domain is all real numbers, and the range is y ≤ - 1. D.) The vertex is (-3, - 1), the domain is all real numbers, and the range is y ≥ - 1

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Dillan Winters · Answer 1

Ok so domain is all allowed numbers look at deonomenator and don't allow any numbers that will make it zero none that means domain=all real numbers vertex in form y=a (x-h) ^2+k (h, k) = vertex we have y=-2 (x+3) ^2-1 h=-3 k=-1 vertex = (-3,-1) range the vertex opens down so max is y=-1 y≤-1 domain is all real vertex is (-3,-1) y≤-1 C