Question

PLZZ HELP PLZ!!!

1. Draw the points on the graph to represent the solutions.
2. What are the solutions? List them as ordered pairs.
(x,y)
10
3. Based on the graph, would you expect the discriminant
to be positive, negative, or equal to zero?

Answer 1

1. The solutions marked on the attached graph

2.The solutions are (-2, 0) and (6, 0)

3. The discriminant would be positive

Explanation:

• The solution of the quadratic equation is the values of x at y = 0, which means the points of intersection of the graph and the x-axis

• The discriminant is positive if the graph intersects the x-axis at two different points

• The discriminant is zero if the graph intersects the x-axis at only one point

• The discriminant is negative if the graph does not intersect the x-axis

Based on the given graph

1.

Look at the attached figure to see the solutions

2.

∵ The graph intersects the x-axis at points (-2, 0), (6, 0)

∴ The solutions are (-2, 0) and (6, 0)

3.

∵ The discriminant is positive if the graph intersects the x-axis

at 2 different points

∵ The given graph intersects the x-axis at points (-2, 0) and (6, 0)

→ They are different points

∴ The discriminant would be positive