Question

I know the answer is no x intercepts because we have an answer sheet to check our answers i just forgot how to do this and would appreciate an explanation: ind the number of x-intercepts of y= -x^2 + 4x - 12

Answer 1

negative square root will result in zero x-intercepts

Explanation:

there are no x-intercepts because if you use the quadratic formula on the equation you get a negative square root which results in zero x-intercepts

in this case, a=-1, b=4, c=-12

[-4±√4² - 4(-1)(-12)] / 2(-1)

= [-4 ± √16-48] / -2

= -4 ± √-32 / -2