Final answer:
There are no vertical asymptotes for the given quadratic function.
Step-by-step explanation:
The given expression y = x² - 7x - 4x² is a quadratic equation. To find the vertical asymptotes of this quadratic function, we need to determine the values of x for which the function approaches positive or negative infinity.
The vertical asymptotes occur when the denominator of the function becomes zero. In this case, the denominator is 1. So, we need to solve the equation 1 = 0.
Since the equation 1 = 0 has no solutions, there are no vertical asymptotes for the given function.