y=(x+2)^2-9

Here’s a quick, exam-ready breakdown of y = (x + 2)^2 − 9.

• Form: Vertex form of a parabola

  • Vertex: (-2, -9)
  • Axis of symmetry: x = -2
  • Opens: Upward
  • Vertex form interpretation: base parabola y = x^2 shifted left 2 units and down 9 units

• Standard form: y = x^2 + 4x - 5

  • This comes from expanding: (x + 2)^2 - 9 = x^2 + 4x - 5

• Factorized form: y = (x + 5)(x − 1)

• Zeros (x-intercepts): x = -5 and x = 1

  • Points: (-5, 0) and (1, 0)

• y-intercept: y(0) = -5 → (0, -5)

• Domain and Range:

  • Domain: all real numbers
  • Range: y ≥ -9

If you’d like, I can graph it, or help with a specific task (e.g., finding area under a portion, solving an equation with this parabola, etc.).