Graph the quadratic y=x2+3x+8 . What is the x-intercept(s)?(1 point) Responses There is no x-intercept. There is no x -intercept. −1.5 negative 1.5 (0,8) left parenthesis 0 comma 8 right parenthesis (−1.5,5.75)
To find the x-intercepts of the quadratic function y = x^2 + 3x + 8, we set y equal to zero and solve for x.
0 = x^2 + 3x + 8
Using the quadratic formula, we have:
x = [-3 ± √(3^2 - 4(1)(8))] / (2(1))
x = [-3 ± √(9 - 32)] / 2
x = [-3 ± √(-23)] / 2
Since the discriminant is negative (-23), the quadratic function does not have any x-intercepts. Therefore, the correct answer is: There is no x-intercept.