   Chapter 12.CT, Problem 1CT ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Find the focus and directrix of the parabola x 2 = − 12 y , and sketch its graph.

To determine

To find:

The focus and directrix of the parabola x2=12y, and sketch the graph.

Explanation

Given:

The equation of the parabola is x2=12y.

Approach:

Compare the given equation of parabola with x2=4py.

Calculation:

By comparing the given equation of parabola x2=12y with x2=4py, we get

4p=12p=3

Since p is negative, so the given parabola is downward parabola and the focus will lie 3 units down to the vertex (0,0) and directrix will be 3 units upward a straight line parallel to the x-axis

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