Question

mathematics progress check
describe the behavior of the graph below.
a. the graph is decreasing when x < 0.
b. the graph is increasing for all values of x.
c. the graph is increasing when x > 0.
d. the graph is decreasing when x > 0.

Explanation:

Step1: Analyze left - hand side

Observe the graph. To the left of the vertex (where \(x < 0\)), the graph is increasing as we move from left to right.

Step2: Analyze right - hand side

To the right of the vertex (where \(x>0\)), the graph is decreasing as we move from left to right.

Answer:

D. The graph is decreasing when \(x > 0\).