Question

the line x=2 is the axis of symmetry for a parabola the focus of the parabola is located 3 units from the vertex which could be the equation for the parabola

Answer 1

Answer:

See explanation

Step-by-step explanation:

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It was that x=2 is the axis of symmetry of the required parabola:

The focus is 3 units from the vertex.

The could multiple parabolas with the given information.

Let y =3 be the directrix, then the vertex will be at (2,6).

The focus will be at (2,9).

In this case the parabola has equation:

${(x - 2)}^{2} = 4 \times 3(y - 6)$

$y = \frac{1}{12} ( {x - 2)}^{2} + 6$

This parabola has the features described in the question.

Answer 2

Answer:

(x – 2)2 = 12(y – k)

Step-by-step explanation:

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