Question

relating solutions and roots
complete the statements.
graph □ has one real root.
graph □ has a negative discriminant.
graph □ has an equation with coefficients
a = 1, □ c = -2
a
done b
c

Explanation:

Step1: Identify one real root graph

A quadratic with one real root touches the x-axis once. Graph B is tangent to the x-axis.

Step2: Identify negative discriminant graph

A negative discriminant means no real roots (graph doesn't cross x-axis). Graph A never intersects the x-axis.

Step3: Match coefficients $a=1,c=-2$

For $y=x^2+bx-2$, when $x=0$, $y=-2$ (y-intercept at $(0,-2)$). Graph C crosses the y-axis at $(0,-2)$.

Answer:

1. Graph $\boldsymbol{B}$ has one real root.
2. Graph $\boldsymbol{A}$ has a negative discriminant.
3. Graph $\boldsymbol{C}$ has an equation with coefficients $a=1, c=-2$.