Respuesta :

Answer:

Direction open's Right

Vertex: (0,0)

Focus: (5/4, 0)

axes of symmetry: y = 0

directrix: x = - 5/4

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axes of symmetry.

Hope this really helps u have good day :)


Yes, a parabola can be represented by the equation [tex]y^{2} = 5x[/tex]

How to define a parabola with all its properties -

In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

The general equation of a parabola is [tex]y^{2} = 4ax[/tex]  where x and y are the x and the y intercepts and a is the distance of the focus from the vertex of the parabola.

The latus rectum of parabola is defined as the line segment passing through its focus and perpendicular to its axis.

For the given parabola, [tex]y^{2} = 5x[/tex]

Vertex : (0,0)

Focus : (5/4, 0)

Axes of symmetry : y = 0

Directrix : x = - 5/4

Length of latus rectum : 5 units

Thus the parabola can be formed and so can be plotted in the graph.

To learn more about parabola, refer -

https://brainly.com/question/64712

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