Respuesta :

Answer:

c. y=x2+9x+18

Step-by-step explanation:

If we factor y=x2+9x+18 using the x method, the factors 3 and 6 mutliply to 18 as well as add to 9. that means y=x2+9x+18=(x+3)(x+6). From the graph, we can see that when y=0, it is at the x's -3 and -6. If we set (x+3)and(x+6) equal to zero (for ex. x+3=0), our x's are -3 and -6 which are the same zeros as the graph

onyebuchinnaji

The quadratic function that best describe the graph is y =  x² + 9x + 18.

Solution of the graph

The solution of the given graph is determined from the intersection of the curve on the horizontal axis.

The two points of intersection of the curve are -6 and - 3.

Quadratic function

The quadratic function is determined from the solutions of the curve.

x = -6 or x = -3

x + 6 = 0 or x + 3 = 0

(x + 6)(x + 3) = 0

expand the bracket as follows;

x² + 3x + 6x + 18 = 0

x² + 9x + 18 = 0

y = x² + 9x + 18

Thus, the quadratic function that best describe the graph is y =  x² + 9x + 18.

Learn more about quadratic function here: https://brainly.com/question/1214333

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