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1. The correct equations of the parabola are y² = x, y² = 10x, and y² = 5x, making options C, D, and F the right choices.

   A cone and a plane perpendicular to its side cross to form a symmetrical open plane curve known as a parabola. Under the influence of gravity, a bullet will travel along a curve that looks like this.

   Lauren defines a parabola with a focus that has a positive, non-zero coordinate value in the posed query.

   The parabola’s equation of focus is given as:

   y = a(x – h)² + k.

   Among the given option, only the options:

   y² = x,

   y² = 10x, and

   y² = 5x, satisfies this equation.

   This proves that Lauren might be describing options C, D, or F.

   Thus, the correct equations of the parabola are y² = x, y² = 10x, and y² = 5x, making options C, D, and F the right choices.

   Learn more about parabolas at

   https://brainly.com/question/4419304

   #SPJ4

   The provided question is incomplete. The complete question is:

   “Lauren describes a parabola where the focus has a positive, nonzero x coordinate. Which parabola(s) could Lauren be describing? Check all that apply.

   x2 = 4y

   x2 = –6y

   y2 = x

   y2 = 10x

   y2 = –3x

   y2 = 5x”

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