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which statement(s) about the graph of (f(x) = x^2 - 4x - 1) are true? s…

Question

which statement(s) about the graph of (f(x) = x^2 - 4x - 1) are true? select all that apply.

a. (f) has an axis of symmetry at (x = 2).

b. the range of (f) is (f(x) ge -1).

c. the maximum value of (f) is (-5) when (x = 2).

d. as (x) approaches infinity, (f(x)) approaches infinity.

Explanation:

Find the vertex and axis of symmetry

$$ LATEXBLOCK0 $$

Determine range and extremum

$$ LATEXBLOCK1 $$

Determine end behavior

$$ LATEXBLOCK2 $$

Answer:

  • A. f has an axis of symmetry at x = 2. (Correct answer)
  • B. The range of f is f(x) ≥ -1.
  • C. The maximum value of f is -5 when x = 2.
  • D. As x approaches infinity, f(x) approaches infinity. (Correct answer)