Question

Consider the function of the graph. Which function does the graph represent?

Answer 1

2nd option, I believe.

Answer 2

Answer:

f(x) = 3(x-3)(x-7)

Step-by-step explanation:

Ok! So, if you look at the graph as seen, it is a parabola. This means that the graph is in the form ax^2 + bx + c. If the result is in a different form there is probably something off. The way we can figure out which one of these it is is by looking at where the graph touches the x axis, or where the graph has zeroes. Here, they are at x=3 and x=7. If we look at the equations and find the zeroes, we can see which ones match. Since both f(x) = (x-3)(x-7) and

f(x) = 3(x-3)(x-7) match, we must go a little further. As we are down to 2 choices, the best way from here may be simple substitution. At the top it shows there is a point (8,15), so we can test both and see which one works with it. If we look at 3(x-3)(x-7) we get 3*5*1, or 15, and if we look at (x-3)(x-7), we get 5*1, or 5. Since the point has 15 for its y value, this means that our answer is f(x) = 3(x-3)(x-7).