Question

Find the value of A if f(x)—> A(x-1)(x+2) contains the points (-2,0) (1,0) and (3,5).

Answer 1

The value of a is 0.5

Explanation:

we have

`f(x)=a(x-1)(x+2)`

we know that

If a ordered pair lie on the graph of the function, then the ordered pair must satisfy the function

substitute the coordinates of point (3,5) in the function above and solve for a

For x=3, f(x)=5

`5=a(3-1)(3+2)`

`5=a(2)(5)`

`5=a(10)`

`a=5/10`

`a=0.5`