Question

what is the range of this quadratic function?
options: {y|y ≥ -10}, {y|y ≤ 5}, {y|-10 ≤ y ≤ 5}, all real numbers

Explanation:

Step1: Identify vertex of parabola

The parabola opens downward, so its vertex is the maximum point. From the graph, the vertex has a y-coordinate of 5.

Step2: Determine range direction

Since the parabola opens downward, the y-values start at the maximum (5) and decrease infinitely downward.

Answer:

$\{y \mid y \leq 5\}$