What is the standard form of the equation of the parabola shown in the graph?

Step-by-step explanation:

Since, the standard form of a parabola which is along to the y-axis,

Where (h,k) is the vertex of the parabola,

By the given diagram,

The vertex of the parabola along to the y-axis = (0,0)

⇒ h = 0, k=0

By substituting these values in the above equation,

We get,

  --------(1)

Now, again by the given diagram the parabola is passing through the point (-4,-1),

⇒ This point will be satisfy the equation of parabola,

⇒

⇒

⇒

By substituting this value in equation (1),

We get,

Which is the required equation of the given parabola.

⇒ First option is correct.

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the answer

b. they are parallel and will never intersect.