Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex.
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Question

Quizplus · Accepted Answer

The vertex form of the quadratic function is f(x) = a(x - h)2 + k, where (h, k) is the vertex. From the given graph, we can see that the vertex is at (-2, 3). To find the value of a, we can use another point on the graph, such as (0, -1). Plugging in these values, we get -1 = a(0 - (-2))2 + 3, which simplifies to -1 = 4a + 3. Solving for a, we get a = -1. Plugging this value into the vertex form, we get f(x) = -1(x + 2)2 + 3, which matches choice C.

Express the Function in the Form F(x) = A(x -