Question

Write the equation for the quadratic function in the graph.

Answer 1

Answer:

B) h(x) = -1/4(x - 6)(x + 3)

Step-by-step explanation:

Zeros of a function:

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

In this question:

Concave down, so $a < 0$, which excludes options c and d.

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

$-\frac{1}{4}(x-6)(x-(-3)) = -\frac{1}{4}(x-6)(x+3)$

So option B.