Using the graph as your guide, complete the following statement

The discriminant of the function _.

D. is zero

Step-by-step explanation:

Graph of the Parabola

The quadratic function's graph is called a parabola. There is a clear relationship between the roots of the equation and the shape of the parabola.

If the equation has two real roots, the parabola has two x-intercepts. If the equation has only one real root, the parabola crosses the x-axis only once, and if the equation has no real roots, the parabola never crosses the x-axis.

If the equation of the parabola is

Then the so-called discriminant is

If the discriminant is zero, the equation has only one real root. The graph in the image only goes through the x-axis once.

Thus, the correct answer is

D. is zero

-2/

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal