Lauren describes a parabola where the focus has a positive, nonzero x coordinate. Which parabola(s) could Lauren be describing

Answers

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.

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