8. Conic Sections

Parabolas

Open Question
In Exercises 57–62, use the vertex and the direction in which the parabola opens to determine the relation's domain and range. Is the relation a function?x = - 4(y - 1)^2 + 3
Multiple Choice
If a parabola has the focus at $\left(2,4\right)$ and a directrix line $x=-4$ , find the standard equation for the parabola.
Open Question
Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the parabola. x^2 - 4x - 2y = 0
Practice
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Open Question
In Exercises 5–16, find the focus and directrix of the parabola with the given equation. Then graph the parabola.8x^2 + 4y = 0
Multiple Choice
Graph the parabola $-4\left(y+1\right)=\left(x+1\right)^2$ , and find the focus point and directrix line.
Multiple Choice
If a parabola has the focus at $\left(0,-1\right)$ and a directrix line $y=1$ , find the standard equation for the parabola.
Multiple Choice
Graph the parabola $8\left(x+1\right)=\left(y-2\right)^2$ , and find the focus point and directrix line.
Practice
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Practice
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Open Question
Find the standard form of the equation of the parabola satisfying the given conditions. Focus: (12,0); Directrix: x=-12
Practice
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Open Question
Identify the conic represented by the equation without completing the square. 4x^2 - 9y^2 - 8x + 12y - 144 = 0
Open Question
Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the parabola. (x-4)^2 = 4(y+1)
Practice
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