If x =-3 is the only x intercept of the graph of a quadratic equation which statement best describes the discriminant of the equation ?
a) the discriminant is negative
b) the discriminant is -3
c)the discriminant is 0
d) the discriminant is positive

C

Step-by-step explanation:

If x = –3 is the only x-intercept of the graph of a quadratic equation the statement that best describes the discriminant of the equation is the statement C.

We know that a quadratic equation is called like that because it has two solutions.

We know that the quadratic formula is:

Where is the discriminant.

If the equation has only one x-intercept, then the discriminant must be 0. So the only solution is:

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: