Answered

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can someone please help me with the following?

Sagot :

Answer:

y^2 = -12x

Explanation:

For a parabola whose vertex is at (0,0), its standard equation is

[tex]y^2=-4ax[/tex]

where the directrix is given by x = a.

Now in our case, the vertex of our parabola is at (0,0) and the directrix is x = 3. This tells us that a = 3 and so the above equation gives

[tex]y^2=-4\cdot3x[/tex]

[tex]\boxed{y^2=-12x\text{.}}[/tex]

which is our answer!

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