Question

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

Answer 1

it answer is c ,d and f

Answer 2

The correct equations are $y^2 = x$, $y^2 = 10x$ and $y^2 = 5x$ respectively

What is a Parabola?

A parabola is symmetrical open plane curve that is created by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

In the given question, Lauren describes a parabola that has positive non zero coordinate value on

• focus

The equation of focus of a parabola is given as

$y = a(x - h)^2 + k$

In the options given,

$y^2 = x$ is correct

$y^2 = 10x$  is also correct and

$y^2 = 5x$ is correct

This shows that only option c, d and f are the right answers.

The correct equations are $y^2 = x$, $y^2 = 10x$ and $y^2 = 5x$ respectively

Learn more on focus of a parabola here;

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