Question

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Answer 1

Sorry, idk the answer :/

Answer 2

If you have two points, the focus \((x_1, y_1)\) and directrix \((x_2, y_2)\), then you can insert the points in to the formula \((x - x_1)^2 + (y - y_1)^2 = ((x - x_2)^2 + (y - y_2)^2\)

In this case, the focus is \((-2,4)\). The directrix is \((x,6)\)

Answer 3

After inserting the points you have: \((x - (-2))^2 + (y - 4)^2 = (x - x)^2 + (y - 6)^2\)

Which simplifies to \((x + 2)^2 + (y - 4)^2 = (y - 6)^2\)
Then expand the binomials
\((x^2 + 4x + 4 + y^2 - 8y + 16 = y^2 - 12y + 36\)

Afterwards, notice that y^2 cancels on both sides:
\(x^2 + 4x + 20 -8y = -12y + 36\)

From here, you can isolate y:
\(x^2 + 4x + 20 - 36 = -12y + 8y\)
\(x^2 + 4x - 16 = -4y\)
\(-\dfrac{x^2}{4} - x + 4 = y\)

Answer 4

please help me with the other question i posted ♡

Answer 5

Follow the steps posted in this question.