The only way the expression can be factored is if a -3 is pulled out...
-3(5t+2)
The y-intercept of the equation is the value of the variable y or in this case, f(x), when x is equated to zero. Out of all the choices presented in this item, if x is equated to zero, the first two terms will be equal to zero, leaving the third term only for the numerical value of f(x).
From the choices presented, the answer would be f(x) = -x2 + 2x + 4. Thus, the answer is the third choice, C.
The graph of

is shown in the graph below.
The graph is of ∩-shape when the constant

of the quadratic equation

is negative
Start at -4 and go to the right 6 times on the number line and you should end up with 2