Question

what is the range of this quadratic function? the graph is a parabola opening downward with vertex at (4,10). the options are {y|y ≥ -10}, {y|y ≤ 4}, {y|y ≤ 10}, all real numbers.

Explanation:

Step1: Identify vertex y-value

The parabola's vertex (maximum point) has a y-coordinate of 10.

Step2: Determine range direction

Since the parabola opens downward, y-values decrease from the vertex.

Step3: Define the range

All y-values are less than or equal to 10.

Answer:

$\{y|y \leq 10\}$