Answer: 112
Explanation:
To find the discriminant of a quadratic equation in the form of y = ax^2 + bx + c, where a, b, and c are constants, we can use the formula:
Discriminant = b^2 - 4ac
In this case, the quadratic equation is y = -x^2 - 6x + 19. So, we can identify the coefficients:
a = -1
b = -6
c = 19
Then, we can substitute these values into the formula for the discriminant:
Discriminant = b^2 - 4ac
= (-6)^2 - 4(-1)(19)
= 36 + 76
= 112
Therefore, the discriminant of the quadratic equation y = -x^2 - 6x + 19 is 112.