Question

Urgent!!

Answer 1

Given:

Given that the graph of the quadratic function.

We need to determine the value of a in the function's equation.

Value of a:

The value of a can be determined using the formula,

$y=a(x-h)^2+k$

where (h,k) is the vertex and a is a constant.

From the graph, it is obvious, that the vertex of the parabola is (0,9).

Thus, substituting the vertex (h,k) = (0,9) in the above formula, we get;

$y=a(x-0)^2+9$

$y=ax^2+9$  -------- (1)

Let us substitute any one of the coordinate that the graph passes through to determine the value of a.

Let us substitute the point (3,0) in the equation (1), we have;

  $0=a(3)^2+9$

  $0=9a+9$

$-9=9a$

$-1=a$

Thus, the value of a is -1.

Hence, Option B is the correct answer.