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 <u>C, D, or F</u>.
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
brainly.com/question/4419304
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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"
