Answer:
[tex]f(x)=0.5x^2-4x+7.5[/tex]
Step-by-step explanation:
The general form of a quadratic function is:
[tex]y=ax^2+bx+c[/tex]
We'll find the general form of the function:
[tex]f(x)=0.5(x-3)(x-5)[/tex]
Multiplying the expressions in parentheses:
[tex]f(x)=0.5(x^2-5x-3x+15)[/tex]
Simplifying:
[tex]f(x)=0.5(x^2-8x+15)[/tex]
Operating:
[tex]\mathbf{f(x)=0.5x^2-4x+7.5}[/tex]
