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

A.-1

D.-18

Step-by-step 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

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:

Where a=Coefficient of

b=Coefficient of x

c=constant term

a=1, b=0,c=1

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.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation: