Question

question: 9
consider the function below.
graph of a parabola opening upwards
what is the range of the graph above?
a. all real numbers
b. ( y geq -4 )
c. ( y leq -4 )
d. ( y geq 0 )

Explanation:

Step1: Analyze the graph shape

The graph is a parabola opening upwards (since the arms go up), so it has a minimum point.

Step2: Identify the minimum y - value

From the graph, the vertex (minimum point) has a y - coordinate of - 4.

Step3: Determine the range

For a parabola opening upwards with minimum y - value - 4, the range is all real numbers y such that \(y\geq - 4\), because the graph extends upwards from \(y=-4\) to infinity.

Answer:

B. \(y\geq - 4\)