Answer: The correct option is
(A) If F and G differ by a constant, then f = g.
Step-by-step explanation: According to the given condition, we have
We are to select the correct statement.
Let F(x) = p(x) and G(x) = p(x) + c, c - constant.
Then, we get
Therefore,
Thus, if F and G differ by a constant, then f = g.
Option (A) is CORRECT.
Graph the equation. There are multiple ways to do this.
You can create a table of values, use the quadratic formula, convert from standard to vertex form.
If you're trying to factor, you'll eventually notice this thing cannot be factored (no roots!). If you use the quadratic formula, you will get an imaginary answer (no roots!)
If you go in the route of picking points and coming up with a table of values you'll get a graph like this (see attachment) Notice there are no roots! because the graph never ever hits the x-axis
