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what is the vertex of the graph of (y = -x^2)? \\((-1, 0)\\) \\((0, -1)…

Question

what is the vertex of the graph of (y = -x^2)?

\\((-1, 0)\\)
\\((0, -1)\\)
\\((0, 0)\\)
\\((1, 1)\\)

Explanation:

Identify the quadratic function form

$$ y = -x^2 \implies y = -1(x - 0)^2 + 0 $$

Determine the vertex coordinates

$$ (h, k) = (0, 0) $$

Answer:

  • (-1, 0)
  • (0, -1)
  • (0, 0) (Correct answer)
  • (1, 1)