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Math Asked by a SnapAndSolve user · about 2 hours ago

Which equation has a more positive y-coordinate of its vertex?

Which equation has a more positive y-coordinate of its vertex?
a y = -4x^2 - 4
b y = -2x^2 - 4
c y = -2x^2
d y = -2x^2 - 2

Answer

The vertex form of a quadratic equation is y = ax^2 + bx + c, where the vertex is at x = -b/(2a). For these equations, b = 0, so the vertex is at x = 0, and the y-coordinate is simply the constant term.

  1. a: y = -4x^2 - 4, vertex y-coordinate = -4
  2. b: y = -2x^2 - 4, vertex y-coordinate = -4
  3. c: y = -2x^2, vertex y-coordinate = 0
  4. d: y = -2x^2 - 2, vertex y-coordinate = -2

The equation with the more positive y-coordinate of its vertex is c: y = -2x^2, with a vertex y-coordinate of 0.

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