Question

The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.

A. -1

B. 3

C. 0

D. -18

Answer 1

A.-1

D.-18

Explanation:

We are given that a graph of certain quadratic function has no x- intercept.

We have to find the possible values for the discriminant.

Consider a quadratic function

`f(x)=x^2+1`

x-Intercept:It is that integer value of x for which the value of function is equal to zero.

It has no x- intercept.

Discriminant:
`D=b^2-4ac`

Where a=Coefficient of
`x^2`

b=Coefficient of x

c=constant term

a=1, b=0,c=1

`D=0-4(1)(1)=-4<0`

When D<0 then, the function has no x- intercept.

Hence, the possible values for the discriminant are -1 and -18.

Option A and D are true.