The first step that we must take to solve a problem is to understand that the problem statement is asking us to do and what is given to us to do so. Looking at the problem statement we can see that they are asking us to determine what the y-intercept of the quadratic function is. We are given the expression
to help us accomplish that goal.
After completing that step, we can move onto the next step which is actually determining what the y-intercept is. We know that the y-axis is when x = 0 so therefore if we set x to 0 in the expression provided we will be able to solve for the unknown. The unknown will then lead us to the y-intercept. One more thing that I needed to state was that f(x) is almost the same exact thing as y but just in a different format.
Plug in 0 for all of the x values
Simplify the expression
Looking at the value that we got from the equation we can see that f(x) or y is equal to -24 when x is equal to 0. This would in turn give us the coordinate of (0, -24) where the first digit corresponds to the x-value and the second digit corresponds to the y-value.
Therefore, the option that would make the most sense would be option C, (0, -24)