Which graph is defined by the function given below? y=(x+2)(x+7)

Graph A.

Step-by-step explanation:

The given graph in the question is y = (x + 2)  (x + 7)

or y = x² + 2x + 7x + 14

      = x² + 9x + 14

Now we convert this equation of parabola in vertex form

This equation is in the form of y = (x-h)² + k where (h,k) is the vertex.

So in the given equation y = (x + 4.5)² - 6.25

Vertex should be (-4.5, 6.25) which lies in third quadrant.

Therefore, option A. is the graph.

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step-by-step explanation:

table 3 represents a direct variation function. : )