Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Step-by-step explanation:
Remember, a quadratic function which has roots x = a, and x = b, can be written as:
p(x) = A*(x - a)*(x - b)
Where A is the leading coefficient. This is the factorized form of a quadratic.
We have the function:
f(x) = (x - 3)^2
Now, we could rewrite this as:
f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)
Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)
Then the only root of f(x) is x = 3.
Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:
A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
