Question

which graph decreases, crosses the y-axis at $(0, -7)$, and then increases?
graph a
graph b
graph c
text description for graph
a. graph c
b. graph b
c. graph a

Explanation:

1. Check the y-intercept: The required graph must cross the y-axis at (0, -7).

• Graph A has a y-intercept at (0, -7).
• Graph B has a y-intercept at (0, 6).
• Graph C has a y-intercept at (0, -7).

1. Check the increasing/decreasing behavior: The graph must first decrease, then increase.

• Graph A decreases, then stays constant.
• Graph B increases, then stays constant.
• Graph C decreases from left to the vertex, then increases from the vertex to the right.

1. Only Graph C meets both criteria.

Answer:

A. Graph C