Parabola Equation Anatomy

Interact with this app for a few minutes. Be sure to move points around, drag sliders slowly, etc.

How can you tell if the parabola has an axis of symmetry that is horizontal? Vertical? Explain.

How can you tell if the parabola has a directrix that is horizontal? Vertical? Explain.

Suppose the equation of a parabola is [math]\left(x-h\right)^2=4p\left(y-k\right)[/math], where [math]p>0[/math] . Which of the following statments, if any, are true about this parabola?

Its focus lies below its vertex. Its directrix lies to the right of its vertex. Its directrix lies below its vertex. Its focus lies to the right of its vertex. Its focus lies above its vertex. Its directrix lies to the left of its vertex. Its directrix lies above its vertex. Its focus lies to the left of its vertex.

Suppose the equation of a parabola is [math]\left(x-h\right)^2=4p\left(y-k\right)[/math], where [math]p<0[/math] . Which of the following statments, if any, are true about this parabola?

Its focus lies above its vertex. Its directrix lies above its vertex. Its focus lies to the right of its vertex. Its focus lies to the left of its vertex. Its directrix lies to the left of its vertex. Its directrix lies below its vertex. Its focus lies below its vertex. Its directrix lies to the right of its vertex.

Suppose the equation of a parabola is [math]\left(y-k\right)^2=4p\left(x-h\right)[/math], where [math]p>0[/math] . Which of the following statments, if any, are true about this parabola?

Its focus lies to the right of its vertex. Its directrix lies above its vertex. Its directrix lies to the left of its vertex. Its directrix lies to the right of its vertex. Its focus lies to the left of its vertex. Its focus lies above its vertex. Its directrix lies below its vertex. Its focus lies below its vertex.

Suppose the equation of a parabola is [math]\left(y-k\right)^2=4p\left(x-h\right)[/math], where [math]p<0[/math] . Which of the following statments, if any, are true about this parabola?

Its directrix lies to the left of its vertex. Its directrix lies above its vertex. Its directrix lies below its vertex. Its focus lies above its vertex. Its directrix lies to the right of its vertex. Its focus lies below its vertex. Its focus lies to the left of its vertex. Its focus lies to the right of its vertex.

Parabola Equation Anatomy

Interact with this app for a few minutes. Be sure to move points around, drag sliders slowly, etc.

정보: Parabola Equation Anatomy