Find parabola given the vertex (-5, ?)

The calculator will find the equation of a parabola and its properties given the vertex

\left(-5, ?\right)

, with steps shown.

Type:

Vertex:

(

,

)

Focus:

(

,

)

Directrix:

First point:

(

,

)

Second point:

(

,

)

Third point:

(

,

)

Axis/direction:

Vertical axis means parallel to the y-axis, horizontal axis means parallel to the x-axis.

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Your Input

Find the equation, vertex, focus, directrix, axis of symmetry, latus rectum, length of the latus rectum (focal width), focal parameter, focal length, eccentricity, x-intercepts, y-intercepts, domain, and range of the parabola found from the given data: the vertex $\left(-5, ?\right)$ .

Solution

The equation of a parabola is $y = \frac{1}{4 \left(f - k\right)} \left(x - h\right)^{2} + k$ , where $\left(h, k\right)$ is the vertex and $\left(h, f\right)$ is the focus.

Thus, $h = -5$ .

We need 3 equations to find a parabola. Since we don't have these, the parabola can't be found.

Answer

Not enough data to build a parabola.

Find parabola given the vertex (−5,?)\left(-5, ?\right)(−5,?)

Your Input

Solution

Answer

Find parabola given the vertex $\left(-5, ?\right)$