Answer:
The value of a is 0.5
Step-by-step explanation:
we have
[tex]f(x)=a(x-1)(x+2)[/tex]
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
[tex]5=a(3-1)(3+2)[/tex]
[tex]5=a(2)(5)[/tex]
[tex]5=a(10)[/tex]
[tex]a=5/10[/tex]
[tex]a=0.5[/tex]
