Final answer:
The vertex of the graph of the quadratic function is calculated using the formula x = -b/2a. In this case, the vertex is (0, 0), which is not one of the given options.
Step-by-step explanation:
The vertex of a quadratic function can be found using the formula x = -b/2a, where a is the coefficient of the x^2 term and b is the coefficient of the x term. In this case, we have two options for the quadratic function f(x): a. y = 13x and b. y = x². Let's calculate the vertex for each function:
a. y = 13x: a = 0, b = 13. Using the formula, x = -13/(2*0) = undefined.
b. y = x²: a = 1, b = 0. Using the formula, x = -0/(2*1) = 0.
Therefore, the vertex of the graph of the function f(x) is (0, 0), which is not one of the given options. So, the correct answer is d) None of the above.