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Find the vertex, focus, and directrix of the parabola and sketch its graph.

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Find the vertex, focus, and directrix of the parabola and sketch its graph.

(x + 2)^2 = 8 (y - 3)
asked Feb 2, 2015 in CALCULUS by anonymous
reshown Feb 2, 2015 by goushi

1 Answer

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Step 1:

The parabola is image.

Compare the above equation with image.

image and image.

Here is positive then the parabola opens upward.

The vertex of the parabola is image.

The focus of the parabola is image.

The directrix of the parabola is image.

Step 2:

Graph:

Graph the parabola image.

image

Solution :

The vertex of the parabola is image.

The focus of the parabola is image.

The directrix of the parabola is image.

Graph of the parabola is

image

answered Feb 3, 2015 by joseph Apprentice

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