Write the equation for the quadratic function in the graph.
OA) (x) = -1/4(x - 3)(x + 6)
B) h(x) = -1/4(x - 6)(x + 3)
C) h(x) = 1/4(x - 3)(x + 6)
OD) h(x) = 1/4(x - 6)(x + 3)

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

In this question:

Concave down, so [tex]a < 0[/tex], which excludes options c and d.

Roots at x = 6 and x = -3. So

[tex]-\frac{1}{4}(x-6)(x-(-3)) = -\frac{1}{4}(x-6)(x+3)[/tex]

So option B.

Write the equation for the quadratic function in the graph. OA) (x) = -1/4(x - 3)(x + 6) B) h(x) = -1/4(x - 6)(x + 3) C) h(x) = 1/4(x - 3)(x + 6) OD) h(x) = 1/4(x - 6)(x + 3)

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Write the equation for the quadratic function in the graph.
OA) (x) = -1/4(x - 3)(x + 6)
B) h(x) = -1/4(x - 6)(x + 3)
C) h(x) = 1/4(x - 3)(x + 6)
OD) h(x) = 1/4(x - 6)(x + 3)