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what is the range of the function represented by this graph? \\(-4 \\le…

Question

what is the range of the function represented by this graph?

\\(-4 \le y \le -2\\)

\\(y \le 1\\)

all real numbers

\\(y \ge 1\\)

Explanation:

Identify the vertex of the parabola from the graph

$$ (h, k) = (-3, 1) $$

Determine the direction of opening

$$ a < 0 \quad \text{(opens downward)} $$

Determine the range of the function

$$ y \le 1 $$

Answer:

  • (A) \(-4 \le y \le -2\)
  • (B) \(y \le 1\) (Correct answer)
  • (C) all real numbers
  • (D) \(y \ge 1\)