Question

Graph the quadratic y=x2+3x+8 . What is the x-intercept(s)?(1 point)
Responses

(0,8)
left parenthesis 0 comma 8 right parenthesis

There is no x-intercept.
There is no x -intercept.

(−1.5,5.75)
left parenthesis negative 1.5 comma 5.75 right parenthesis

−1.5
negative 1.5

Answer 1

There is no x-intercept.

Reason: Solve x^2 + 3x + 8 = 0. Discriminant = 3^2 − 4·1·8 = 9 − 32 = −23 < 0, so there are no real roots. (The vertex is at (−1.5, 5.75), above the x-axis.)