Question

what is the range of this quadratic function?
options:
{y|y ≥ -8}
{y|y ≤ -8}
{y|-8 ≤ y ≤ 10}
all real numbers

Explanation:

Step1: Analyze the parabola's direction

The parabola opens upward (since the arms go up), so the vertex is the minimum point.

Step2: Find the vertex's y - coordinate

From the graph, the vertex (lowest point) has a y - value of - 8.

Step3: Determine the range

For a parabola opening upward with minimum y - value - 8, the range includes all y - values greater than or equal to - 8. So the range is $\{y|y\geq - 8\}$.

Answer:

$\{y|y\geq - 8\}$