Which of the following functions best describes this graph? a. y=x^2+9x+18 b. y=(x-3)(x-6) c. y=x^2-2x+4 d. y=(x+5)(x-4)

A.

Step-by-step explanation:

By the given graph,

The function is intersecting x-axis at - 3 and - 6,

Thus, the x-intercepts of the given function must be (-3,0) and (-6,0),

Now, In option  A,

The function is,

For x-intercept y = 0,

⇒ x-intercepts are (-3,0), (-6,0)

⇒ The function describes the given graph,

Now, In option  B,

The function is,

For x-intercept y = 0,

⇒ x-intercepts are (3,0), (6,0)

⇒ The function does not describe the given graph,

Now, In option  C,

The function is,

For x-intercept y = 0,

⇒ x-intercept is (2,0),

⇒ The function doesn't describe the given graph,

Now, In option D,

The function is,

For x-intercept y = 0,

⇒ x-intercepts are (-5,0), (4,0)

⇒ The function does not describe the given graph.

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step-by-step explanation: