Use the graph of to write an equation for the function whose graph is shown.

Question

Use the graph of  to write an equation for the function whose graph is shown. ​
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Quizplus · Accepted Answer

The graph appears to be a quadratic function with a vertex at (-2,4) and opening upwards. Therefore, the equation of the function can be written in vertex form as f(x) = a(x+2)^2 + 4. To find the value of "a", we can use either of the other given points on the graph, such as (0,0). Plugging in the coordinates, we get 0 = a(0 + 2)^2 + 4, which simplifies to 0 = 4a + 4 or a = -1. Thus, the equation of the function is f(x) = -(x+2)^2 + 4, which matches choice D.

Use the Graph of to Write an Equation for the Function